Properties of the Number 57222

Fifty-Seven Thousand Two Hundred Twenty-Two

Basics

Value: 57221 → 57222 → 57223

Parity: even

Prime: No

Previous Prime: 57221

Next Prime: 57223

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 11 × 17 ²

Divisors: 1, 2, 3, 6, 9, 11, 17, 18, 22, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111110000110

Octal: 157606

Duodecimal: 29146

Hexadecimal: df86

Square: 3274357284

Square Root: 239.2112037509949

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

Number of partitions of n into parts of 3 kinds. A716

Diagonal above central terms of pendular trinomial triangle A122445, ignoring leading zeros. A122450

Irregular triangle read by row: T(n,k), n>=1, k>=1, in which column k lists the numbers of A000716 multiplied by A000330(k), and the first element of column k is in row A000217(k). A252117

Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27. A85788

a(n) is the number of integer triples (x,y,z) satisfying a system of linear inequalities and congruences specified in the comments. A370349

Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y>=3z. A212519

Number of (w,x,y,z) with all terms in {1,...,n} and w>=2x and y>3z. A212522

Specific heat coefficients for square lattice spin 5/2 Ising model. A10114

Numbers k such that 87·2^k+1 is prime. A32393

Let G denote the 7-node, 12-edge graph formed from a hexagon with main diagonals drawn and a node at the center; a(n) = number of magic labelings of G with magic sum 2n. A244866