Properties of the Number 72224

Seventy-Two Thousand Two Hundred Twenty-Four

Basics

Value: 72223 → 72224 → 72225

Parity: even

Prime: No

Previous Prime: 72223

Next Prime: 72227

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 37 × 61

Divisors: 1, 2, 4, 8, 16, 32, 37, 61, 74, 122

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10001101000100000

Octal: 215040

Duodecimal: 35968

Hexadecimal: 11a20

Square: 5216306176

Square Root: 268.7452325158532

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(1) = 0; a(n) = smallest of three consecutive numbers all with 2n divisors. A75040

Numbers k such that k, k+1 and k+2 have different prime signatures and d(k) = d(k+1) = d(k+2), where d(k) is the number of divisors of k (A000005). A333056

Number of (2+1) X (n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250879

T(n,k) is the start of the first run of exactly k consecutive integers having exactly 2n divisors. Table read by rows. A292580

Continued fraction expansion of constant A072223. A72224