Properties of the Number 22724

Twenty-Two Thousand Seven Hundred Twenty-Four

Basics

Value: 22723 → 22724 → 22725

Parity: even

Prime: No

Previous Prime: 22721

Next Prime: 22727

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 13 × 19 × 23

Divisors: 1, 2, 4, 13, 19, 23, 26, 38, 46, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100011000100

Octal: 54304

Duodecimal: 11198

Hexadecimal: 58c4

Square: 516380176

Square Root: 150.74481748969018

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

Number of key permutations of length n: permutations {a_i} with |a_i - a_i-1| = 1 or 2. A3274

Number of unordered pairs of partitions of n with no common parts. A260669

A000012²³ * A000594. A128379

a(n) = ∑_i=0..n digsum₉(i)³, where digsum₉(i) = A053830(i). A231686

Powers of rooted tree enumerator. A439

The primitive abundant numbers k (A071395) arranged by the decreasing values of their abundancy index σ(k)/k. A307098

Numbers that cannot be expressed as the sum of one or more numbers without any repeated digits. A342080

Number of partitions of n in which exactly one even part is repeated and odd parts are unrestricted. A353902

Triangle, read by rows, such that the convolution of each row with {1,2} produces a triangle which, when flattened, equals this flattened form of the original triangle. A92686

Expansion of ∏_m>=1 (1+m·q^m)^-32. A22724