Properties of the Number 37222

Thirty-Seven Thousand Two Hundred Twenty-Two

Basics

Value: 37221 → 37222 → 37223

Parity: even

Prime: No

Previous Prime: 37217

Next Prime: 37223

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 37 × 503

Divisors: 1, 2, 37, 74, 503, 1006, 18611, 37222

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000101100110

Octal: 110546

Duodecimal: 1965A

Hexadecimal: 9166

Square: 1385477284

Square Root: 192.93003913336045

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

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (x^k - n·R(n,x))^k = 1 - (n-2)*∑_k>=1 x^k², for n >= 1, as read by antidiagonals. A370030

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (xⁿ - 6·A(x))ⁿ = 1 - 4*∑_n>=1 x^n². A370036

a(n) is the concatenation of n and 6n. A9440

Number of partitions of n such that (greatest part) - (least part) <= number of parts. A237831

Triangle T(n,k), n >= 1, giving number of prime unoriented alternating links with n crossings and k components. A59739

Number of n-digit 7-smooth numbers (A002473). A85630

Triangle T(n,m) by rows: The number of tatami tilings of a 3 by n grid with dimers and m monomers. A272472

Decimal expansion of π*e². A37222

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 5 king-move adjacent elements, with upper left element zero. A303960