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Properties of the Number 22132

Twenty-Two Thousand One Hundred Thirty-Two

Basics

Value: 22131 → 22132 → 22133

Parity: even

Prime: No

Previous Prime: 22129

Next Prime: 22133

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 2 × 11 × 503

Divisors: 1, 2, 4, 11, 22, 44, 503, 1006, 2012, 5533

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011001110100

Octal: 53164

Duodecimal: 10984

Hexadecimal: 5674

Square: 489825424

Square Root: 148.76827618817126

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(n) is the concatenation of n and 6n. A9440
Numbers that are the sum of seven fourth powers in exactly six ways. A345828
Numbers that are the sum of eight fourth powers in ten or more ways. A345585
Numerators of continued fraction convergents to sqrt(266). A41498
a(n) is the smallest number k such that d(1)*1! + d(2)*2! + ... + d(p)*p! = n2, where d(i) are the decimal digits of k. A198095
Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 9, n >= 2. A214376
Number of weakly alternating ordered prime factorizations of n with at least two adjacent equal parts. A349798
Fibonacci sequence beginning 4, 13. A22132
The number of ways to color n balls in a row with 3 colors with no color runs having lengths greater than 4. This sequence is a special case of the general problem for coloring n balls in a row with p colors where each color has a given maximum run-length. In this example, the bounds are uniformly 4. It can be phrased in terms of tossing a p-faced die n times, requiring each face to have no runs longer than b. A181140