Properties of the Number 22050

Twenty-Two Thousand Fifty

Basics

Value: 22049 → 22050 → 22051

Parity: even

Prime: No

Previous Prime: 22039

Next Prime: 22051

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 ² × 7 ²

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011000100010

Octal: 53042

Duodecimal: 10916

Hexadecimal: 5622

Square: 486202500

Square Root: 148.49242404917499

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

Pentagonal pyramidal numbers: a(n) = n²*(n+1)/2. A2411

Prime factorization representation of Stern polynomials: a(0) = 1, a(1) = 2, a(2n) = A003961(a(n)), a(2n+1) = a(n)*a(n+1). A260443

Number of reduced words of length n in the Weyl group D₅₀. A162492

Factorial base exp-function: digits in factorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276076

Odd bisection of A260443 (the even terms): a(n) = A260443((2·n)+1). A277324

a(n) = n²*(n+1)²/2. A163102

Triangle of coefficients of square of Hermite polynomials divided by 2ⁿ with argument sqrt(x/2). A111595

a(n) = 18·n². A195321

a(n) = ∏_{d∣n, d>1} A000040(A297113(d)), where A000040(n) gives the n-th prime, and A297113(n) = the excess of n plus the index of the largest dividing prime (A046660 + A061395). A332461

Number of functions from a set to itself such that the sizes of the preimages of the individual elements in the range form the n-th partition in Abramowitz and Stegun order. A49009