Properties of the Number 22730

Twenty-Two Thousand Seven Hundred Thirty

Basics

Value: 22729 → 22730 → 22731

Parity: even

Prime: No

Previous Prime: 22727

Next Prime: 22739

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 2273

Divisors: 1, 2, 5, 10, 2273, 4546, 11365, 22730

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100011001010

Octal: 54312

Duodecimal: 111A2

Hexadecimal: 58ca

Square: 516652900

Square Root: 150.7647173578752

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 partitions p of n such that (number of numbers of the form 5k + 4 in p) is a part of p. A241553

Triangle read by rows: Take a pentagram with all diagonals drawn, as in A331906. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+2. A331907

Number of inequivalent ways to cut an n X n square into squares with integer sides, such that the dissection has 90-degree rotational symmetry and no reflective symmetry. A240122

Number of cells in a regular 7-gon after n generations of mitosis. A349808

Expansion in power series of a parametrization of the Folium of Descartes. A96877

Number of nX2 1..3 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order. A166796

Number of triangular nXnXn arrays of occupancy after each element moves to some neighbor and with no occupancy greater than 6. A217244

Expansion of ∏_m>=1 1/(1 - m·q^m)⁶. A22730

Equals one maps: number of nX3 binary arrays indicating the locations of corresponding elements equal to exactly one of their king-move neighbors in a random 0..1 nX3 array. A220972

Number of nX4 0..1 arrays with every element unequal to 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A304897