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218 (number)

From Wikipedia, the free encyclopedia
Natural number
← 217218 219 →
Cardinaltwo hundred eighteen
Ordinal218th
(two hundred eighteenth)
Factorization2 × 109
Greek numeralΣΙΗ´
Roman numeralCCXVIII,ccxviii
Binary110110102
Ternary220023
Senary10026
Octal3328
Duodecimal16212
HexadecimalDA16

218 (two hundred [and] eighteen) is thenatural number following217 and preceding219.

In mathematics

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  • Mertens function (218) = 3, a record high.[1]
  • 218 isnontotient and alsononcototient.[2]
  • 218 is the number of inequivalent ways to color the 12 edges of a cube using at most 2 colors, where two colorings are equivalent if they differ only by a rotation of the cube.
  • There are 218 nondegenerateBoolean functions of 3 variables.[3]
  • The number of surface points on a 73 cube.[4]

See also

[edit]

References

[edit]
  1. ^Sloane, N. J. A. (ed.)."Sequence A051400 (Smallest value of x such that M(x)=n, where M() is Mertens's function)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^Sloane, N. J. A. (ed.)."Sequence A058763 (Integers which are neither totient nor cototient)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^Sloane, N. J. A. (ed.)."Sequence A000371 (a(n) = Sum_{k=0..n} (-1)^(n-k)*binomial(n,k)*2^(2^k))".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2022-05-10.
  4. ^Sloane, N. J. A. (ed.)."Sequence A005897 (a(n) = 6*n^2 + 2 for n > 0, a(0)=1)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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