Properties of the Number 22675

Twenty-Two Thousand Six Hundred Seventy-Five

Basics

Value: 22674 → 22675 → 22676

Parity: odd

Prime: No

Previous Prime: 22669

Next Prime: 22679

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 ² × 907

Divisors: 1, 5, 25, 907, 4535, 22675

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100010010011

Octal: 54223

Duodecimal: 11157

Hexadecimal: 5893

Square: 514155625

Square Root: 150.58220346375597

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) = T(n,n-4), array T as in A055818. A55821

Indices k such that 6 plus the k-th triangular number is a perfect square. A154140

a(n) is the number of sparse rulers of length n where the length of the first segment is unique. A331330

Number of partitions of n into lower Wythoff numbers (A000201). A192184

Indices of primes in the sequence defined by A(0) = 23, A(n) = 10·A(n-1) + 63 for n > 0. A101973

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 1, -1), (1, 0, 0), (1, 0, 1), (1, 1, -1)}. A150170

Expansion of ∏_{m >= 1} (1-m·q^m)¹⁵. A22675

Number of (n+2)X3 0..2 arrays with each 3X3 subblock nonsingular. A184780

Number of city-block distance 1, pressure limit 2 movements in an nX5 array with each element moving exactly one horizontally or vertically, no element acquiring more than two neighbors, and without 2-loops. A216988