Properties of the Number 2238

Two Thousand Two Hundred Thirty-Eight

Basics

Value: 2237 → 2238 → 2239

Parity: even

Prime: No

Previous Prime: 2237

Next Prime: 2239

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 373

Divisors: 1, 2, 3, 6, 373, 746, 1119, 2238

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010111110

Octal: 4276

Duodecimal: 1366

Hexadecimal: 8be

Square: 5008644

Square Root: 47.30750469005948

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - 2 S - S². A291382

Numbers k such that k⁶⁴ + 1 is prime. A6316

Number of integer partitions of n such that the maximum is twice the median. A361849

Number of subsets of {1..n} of which every subset has a different sum. A325864

Number of integer partitions of n of odd rank. A340692

Number of multisets whose right half (inclusive) sums to n. A360671

a(n) = n*(31·n + 1)/2. A22289

Expansion of ∏_{m >= 1} (1 + q^m)^-2. A22597

Consider problem of placing N queens on an n X n board so that each queen attacks precisely k others. Here k=1 and sequence gives number of inequivalent solutions when N is equal to the upper bound 2·floor(2n/3). A51567

Positive integers n such that n¹² + 1 is semiprime. A105142