Properties of the Number 22364

Twenty-Two Thousand Three Hundred Sixty-Four

Basics

Value: 22363 → 22364 → 22365

Parity: even

Prime: No

Previous Prime: 22349

Next Prime: 22367

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5591

Divisors: 1, 2, 4, 5591, 11182, 22364

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011101011100

Octal: 53534

Duodecimal: 10B38

Hexadecimal: 575c

Square: 500148496

Square Root: 149.54597955144098

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) is the smallest number which can be represented as the sum of n distinct nonzero squares in exactly n ways, or 0 if no such number exists. A350241

Denominators of continued fraction convergents to sqrt(312). A41589

Smallest k such that both of the consecutive Woodall numbers A003261(k) and A003261(k+1) are divisible by A014662(n), the n-th prime p with even order of 2 mod p. A287145

Number of free polyominoes (or square animals) with n cells. A105

Irregular table read by rows: Take a vesica piscis with all diagonals drawn, as in A341877. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A342153

Minimum number of dominoes on an n X n chessboard needed to prevent placement of another domino. A280984

Fibonacci sequence beginning 0, 30. A22364

Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A317522