Properties of the Number 23200

Twenty-Three Thousand Two Hundred

Basics

Value: 23199 → 23200 → 23201

Parity: even

Prime: No

Previous Prime: 23197

Next Prime: 23201

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 5 ² × 29

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 29

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101010100000

Octal: 55240

Duodecimal: 11514

Hexadecimal: 5aa0

Square: 538240000

Square Root: 152.31546211727817

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

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 3, read by rows. A157274

Number of solutions of x¹⁰=1 in general affine group AGL(n,2). A63393

Non-palindromic numbers n such that n·reverse(n) is a square and n and reverse(n) do not have the same number of digits. A322835

Numbers with an equal number of deficient and abundant divisors. A335543

Structured octagonal prism numbers. A100176

Number of irreducible polynomials occurring as the first component of a vertex in the Fibonacci zero tree, generated as in Comments. A262841

Number of binary rooted trees with n nodes and height at most 6. A36589

E.g.f. A(x) satisfies: A(x) = exp( Integral A(x) * Integral 1/A(x)² dx dx ). A258662

Numbers k such that each of k, k+1, k+2, and k+4 is a sum of two squares. A328224

The eventual period of a sequence b(n, m) where b(n, 1) = 1 and the m-th term is the number of occurrences of b(n, m-1) in the list of integers from b(n, max(m-n, 1)) to b(n, m-1). A334539