Properties of the Number 22772

Twenty-Two Thousand Seven Hundred Seventy-Two

Basics

Value: 22771 → 22772 → 22773

Parity: even

Prime: No

Previous Prime: 22769

Next Prime: 22777

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5693

Divisors: 1, 2, 4, 5693, 11386, 22772

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100011110100

Octal: 54364

Duodecimal: 11218

Hexadecimal: 58f4

Square: 518563984

Square Root: 150.90394295710104

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 of n such that the number of parts and the greatest part are coprime. A200750

Number of two-rowed partitions of length 3. A1993

Numbers with digits 2 and 7 only. A284921

Number of colored integer partitions of n such that two colors are used and parts differ by size or by color. A327380

Exponential convolution of number of partitions into distinct parts (A000009) with themselves. A307756

a(n) = (1/6)*(n+1)*(10·n² + 17·n + 12). A102296

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 219", based on the 5-celled von Neumann neighborhood. A270932

Ordered sequence of distinct terms of the form floor(xⁱ * floor(x^j)), i,j >= 0, where x = sqrt(3/2). A22772