Properties of the Number 56222

Fifty-Six Thousand Two Hundred Twenty-Two

Basics

Value: 56221 → 56222 → 56223

Parity: even

Prime: No

Previous Prime: 56209

Next Prime: 56237

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 28111

Divisors: 1, 2, 28111, 56222

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101110011110

Octal: 155636

Duodecimal: 28652

Hexadecimal: db9e

Square: 3160913284

Square Root: 237.1117879819559

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

T(n,k)=Majority value maps: number of nXk binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..1 nXk array. A220217

Expansion of ∏_k>=1 (1 - x^k/(1 - x)^k). A307310

Majority value maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to at least half of their king-move neighbors in a random 0..1 nX3 array. A220214

Number of conjugacy classes of subgroups of the group GL(2, Z_n) of invertible 2 X 2 matrices mod n. A364921

Image of partition numbers (A000041) under "little Hankel" transform that sends [c₀, c₁, ...] to [d₀, d₁, ...] where d_n = c_n² - c_n+1*c_n-1. A56222