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1 In mathematics  





2 References  














222 (number)






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← 221 222 223 →

220 221 222 223 224 225 226 227 228 229

  • Integers
  • 0 100 200 300 400 500 600 700 800 900

    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.
  • ^ 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.
  • ^ 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.
  • ^ 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.
  • ^ Sloane, N. J. A. (ed.). "Sequence A006966 (Number of lattices on n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  • ^ 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.

  • Retrieved from "https://en.wikipedia.org/w/index.php?title=222_(number)&oldid=1220717322"

    Category: 
    Integers
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    This page was last edited on 25 April 2024, at 14:01 (UTC).

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