Properties of the Number 22400

Twenty-Two Thousand Four Hundred

Basics

Value: 22399 → 22400 → 22401

Parity: even

Prime: No

Previous Prime: 22397

Next Prime: 22409

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ⁷ × 5 ² × 7

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011110000000

Octal: 53600

Duodecimal: 10B68

Hexadecimal: 5780

Square: 501760000

Square Root: 149.66629547095766

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

a(n) = 14·n². A144555

Stirling2 triangle with scaled diagonals (powers of 4). A75499

Triangle read by rows: T(n,k) is the number of permutations of [n] for which the shortest cycle length is k (1<=k<=n). A145877

Convolution of natural numbers (A000027) with tetradecagonal numbers (A051866). A220212

Number A(n,k) of permutations on [n] that are the k-th power of a permutation; square array A(n,k), n>=0, k>=0, read by antidiagonals. A247005

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 0,-1 -2,0 or 1,1. A264878

θ series of the 12-dimensional lattice of hyper-roots A₂(SU(3)). A290654

Row 3 of array in A288580. A92397

Number of permutations of n elements admitting a cube root. A103619

T(n,k)=Number of (n+2)X(k+2) 0..1 matrices with each 3X3 subblock having the same population. A224651