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238 (number)

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238 (number)

238 (two hundred [and] thirty eight) is the natural number following 237 and preceding 239.

 ← 237 238 239 →
Cardinal two hundred thirty-eight
Ordinal 238th
(two hundred and thirty-eighth)
Factorization 2 × 7 × 17
Prime no
Roman numeral CCXXXVIII
Binary 111011102
Ternary 222113
Quaternary 32324
Quinary 14235
Senary 10346
Octal 3568
Duodecimal 17A12
Vigesimal BI20
Base 36 6M36

238 is an untouchable number.[1] There are 238 2-vertex-connected graphs on five labeled vertices,[2] and 238 order-5 polydiamonds (polyiamonds that can partitioned into 5 diamonds).[3] Among the 720 permutations of six elements, exactly 238 of them have a unique longest increasing subsequence.[4]

References

1. ^ "Sloane's A005114 : Untouchable numbers: impossible values for sum of aliquot parts of n", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
2. ^ "Sloane's A013922 : Number of labeled connected graphs with n nodes and 0 cutpoints (blocks or nonseparable graphs)", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
3. ^ "Sloane's A056844 : Number of polydiamonds: polyominoes made from n diamonds", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
4. ^ "Sloane's A167995 : Total number of permutations on {1,2,...,n} that have a unique longest increasing subsequence", The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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