218_(number)

218 (number)

218 (number)

Natural number

218 (two hundred [and] eighteen) is the natural number following 217 and preceding 219.

Quick Facts ← 217 218 219 →, Cardinal ...

In mathematics

  • Mertens function (218) = 3, a record high.[1]
  • 218 is nontotient and also noncototient.[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 nondegenerate Boolean functions of 3 variables.[3]
  • The number of surface points on a 73 cube.[4]

In other fields

  • 218 is the current number of votes in the US House of Representatives a party or coalition needs to win in order to achieve a majority.[5]
  • The years 218 and 218 BC
  • Area code 218, for northern Minnesota.

References

  1. [1]
    Sloane, N. J. A. (ed.). "Sequence A051400 (Smallest value of x such that M(x)=n, where M() is Mertens's function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. [2]
    Sloane, N. J. A. (ed.). "Sequence A058763 (Integers which are neither totient nor cototient)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. [3]
    Sloane, N. J. A. (ed.). "Sequence A000371". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-10.
  4. [4]
    Sloane, N. J. A. (ed.). "Sequence A005897". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. [5]
    "Why did bail-out pass this time?". 4 October 2008.
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