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{{other uses|222 (disambiguation)}}
{| border="1" style="float: right; border-collapse: collapse;"
{{Infobox number
|-----
| number = 222
| colspan="2" | {{Numbers 0-1000}}
⚫
}}
|-----
⚫
'''222''' ('''two hundred [and] twenty-two''') is the natural number following [[221 (number)|221]] and preceding [[223 (number)|223]].
| [[Cardinal number|Cardinal]] || Two hundred [and] twenty-two
|-----
| [[Ordinal number|Ordinal]] || 222nd
|-----
| [[Factorization]]
<td><math>222 = 2 \cdot 3 \cdot 37</math>
|-----
| [[Roman numeral]] || CCXXII
|-----
| [[Binary numeral system|Binary]] || 11011110
|-----
| [[Hexadecimal]] || DE
⚫
|}


== In mathematics ==
⚫
'''222''' ([[200 (number)|two hundred]] [and] twenty-two) is the natural number following [[221 (number)|221]] and preceding [[223 (number)|223]].
⚫
It is a [[decimal]] [[repdigit]]<ref>{{Cite OEIS|sequencenumber=A010785 |name=Repdigit numbers, or numbers with repeated digits}}</ref> and a [[strobogrammatic number]] (meaning that it looks the same turned upside down on a calculator display).<ref>{{Cite OEIS|sequencenumber=A018846 |name=Strobogrammatic numbers: numbers that are the same upside down (using calculator-style numerals)}}</ref> It is one of the numbers whose [[digit sum]] in decimal is the same as it is in [[binary number|binary]].<ref>{{Cite OEIS|sequencenumber=A037308 |name=Numbers n such that (sum of base 2 digits of n) = (sum of base 10 digits of n)}}</ref>


⚫
222 is a [[noncototient]], meaning that it cannot be written in the form ''n''&nbsp;&minus;&nbsp;φ(''n'') where φ is [[Euler's totient function]] counting the number of values that are smaller than ''n'' and [[relatively prime]] to it.<ref>{{Cite OEIS|sequencenumber=A005278 |name=Noncototients: n such that x-phi(x) = n has no solution}}</ref>
⚫
It is a [[decimal]] [[repdigit]]<ref>{{SloanesRef |sequencenumber=A010785 |name=Repdigit numbers, or numbers with repeated digits}}</ref> and a [[strobogrammatic number]] (meaning that it looks the same turned upside down on a calculator display).<ref>{{SloanesRef |sequencenumber=A018846 |name=Strobogrammatic numbers: numbers that are the same upside down (using calculator-style numerals)}}</ref> It is one of the numbers whose [[digit sum]] in decimal is the same as it is in [[binary number|binary]].<ref>{{SloanesRef |sequencenumber=A037308 |name=Numbers n such that (sum of base 2 digits of n) = (sum of base 10 digits of n)}}</ref>


⚫
There are exactly 222 distinct ways of assigning a [[Join and meet|meet and join operation]] to a set of ten unlabelled elements in order to give them the structure of a [[lattice (order)|lattice]],<ref>{{Cite OEIS|sequencenumber=A006966 |name= Number of lattices on n unlabeled nodes}}</ref> and exactly 222 different six-edge [[polystick]]s.<ref>{{Cite OEIS|sequencenumber=A019988 |name=Number of ways of embedding a connected graph with n edges in the square lattice}}</ref>
⚫
222 is a [[noncototient]], meaning that it cannot be written in the form ''n''&nbsp;&minus;&nbsp;φ(''n'') where φ is [[Euler's totient function]] counting the number of values that are smaller than ''n'' and [[relatively prime]] to it.<ref>{{SloanesRef |sequencenumber=A005278 |name=Noncototients: n such that x-phi(x) = n has no solution}}</ref>

⚫
There are exactly 222 distinct ways of assigning a meet and join operation to a set of ten unlabeled elements in order to give them the structure of a [[lattice (order)|lattice]],<ref>{{SloanesRef |sequencenumber=A006966 |name= Number of lattices on n unlabeled nodes}}</ref> and exactly 222 different six-edge [[polystick]]s.<ref>{{SloanesRef |sequencenumber=A019988 |name=Number of ways of embedding a connected graph with n edges in the square lattice}}</ref>

==See also==
*The years CE [[222]] or [[222 BC|222 BCE]].
*''[[Room 222]]'' (TV show)
*[[Bell 222]] (helicopter)
*[[SdKfz 222]], a WWII German reconnaissance vehicle
*[[The 222s]], a Montreal punk band which took its name from a code name for [[co-codaprin]]
*''222'', a comedy album by [[Patton Oswalt]]
*"222", a song by [[Paul McCartney]] on the 2-CD edition of his 2007 studio album ''[[Memory Almost Full]]''.
*[[A-222 Bereg]], a Russian self-propelled 130&nbsp;mm coastal defence gun
*"222 Song 1 (Galactic Grooves)", a song by [[222 Glorify God]] on www.222glorify.com
*"222 Song 2 (Desiremaykissmegoodbye)", a song by [[222 Glorify God]] on www.222glorify.com
*"222 Interlude (The Year 2020)", a song by [[222 Glorify God]] on www.222glorify.com
*"222 Glorify God" logo by 222 Glorify God Publishing Company


==References==
==References==

Latest revision as of 14:01, 25 April 2024

For other uses, see 222 (disambiguation).
← 221 222 223 →
Cardinaltwo hundred twenty-two
Ordinal222nd
(two hundred twenty-second)
Factorization2 × 3 × 37
Greek numeralΣΚΒ´
Roman numeralCCXXII
Binary110111102
Ternary220203
Senary10106
Octal3368
Duodecimal16612
HexadecimalDE16

222 (two hundred [and] twenty-two) is the natural number following 221 and preceding 223.

In mathematics

[edit]

It is a decimal repdigit[1] and a strobogrammatic number (meaning that it looks the same turned upside down on a calculator display).[2] It is one of the numbers whose digit sum in decimal is the same as it is in binary.[3]

222 is a noncototient, meaning that it cannot be written in the form n − φ(n) where φ is Euler's totient function counting the number of values that are smaller than n and relatively prime to it.[4]

There are exactly 222 distinct ways of assigning a meet and join operation to a set of ten unlabelled elements in order to give them the structure of a lattice,[5] and exactly 222 different six-edge polysticks.[6]

References

[edit]
  1. ^ Sloane, N. J. A. (ed.). "Sequence A010785 (Repdigit numbers, or numbers with repeated digits)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A018846 (Strobogrammatic numbers: numbers that are the same upside down (using calculator-style numerals))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A037308 (Numbers n such that (sum of base 2 digits of n) = (sum of base 10 digits of n))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients: n such that x-phi(x) = n has no solution)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A006966 (Number of lattices on n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A019988 (Number of ways of embedding a connected graph with n edges in the square lattice)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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