Properties of the Number 23220

Twenty-Three Thousand Two Hundred Twenty

Basics

Value: 23219 → 23220 → 23221

Parity: even

Prime: No

Previous Prime: 23209

Next Prime: 23227

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5 × 43

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101010110100

Octal: 55264

Duodecimal: 11530

Hexadecimal: 5ab4

Square: 539168400

Square Root: 152.38110119040354

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 read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (1,4,4,...) and super- and subdiagonals (1,1,1,...). A124576

a(n) = (2·n - 1)*(7·n² - 7·n + 6)/6. A63490

a(1) = 1, a(2) = 3, a(n+2) = 3·a(n+1) + (n+1)²*a(n). A142979

Number of cyclic arrangements of S={1,2,...,n} such that the difference between any two neighbors is at most 4. A242526

Number of orientable strings of length n using a maximum of k colors, array read by descending antidiagonals, T(n,k) for n >= 1 and k >= 1. A293500

Triangular numbers whose sum of divisors is also a triangular number. A83674

a(n) = number of knight's move paths of minimal length n steps, from origin (0,0) at center of an infinite open chessboard to square (0,0) for n=0; square (2,-1) for n=1; and square (2n-3, (n+1)mod 2) for n>=2. A242511

Number of 4-way intersections in the interior of a regular 6n-gon. A137938

a(n) = maximal number of shortest knight's move paths, from origin at center of an infinite open chessboard, to any square within n moves. A242513

Expansion of sum ( qⁿ / product( 1-q^k, k=1..6·n), n=0..inf ). A35298