Properties of the Number 45220

Forty-Five Thousand Two Hundred Twenty

Basics

Value: 45219 → 45220 → 45221

Parity: even

Prime: No

Previous Prime: 45197

Next Prime: 45233

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 7 × 17 × 19

Divisors: 1, 2, 4, 5, 7, 10, 14, 17, 19, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000010100100

Octal: 130244

Duodecimal: 22204

Hexadecimal: b0a4

Square: 2044848400

Square Root: 212.64994709616084

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

Square spiral of sums of selected preceding terms, starting at 1. A141481

Number of distinct perforation patterns for deriving (v,b) = (n+2,n) punctured convolutional codes from (2,1). A7223

Triangle read by rows: T(n,k) = number of ways to insert n pairs of parentheses in k words. A275431

Expansion of (∏_j>=1 (1-(-x)^j) - 1)²⁰ in powers of x. A47645

Denominators of column 2 of table described in A051714/A051715. A51719

a(n) = 2·n*(16·n - 13). A263228

a(n) = ∑_{k=0..floor((n-1)/2)} T(n,k) * T(n,k+1), with T given by A008315. A27302

Number·such that σ(x) = usigma(x) + (-1)σ(x), where σ(x) is the sum of divisors of x (A000203), usigma(x) is the sum of unitary divisors of x (A034448) and (-1)σ(x) is defined in A049060. A258106

a(n) = (1/24)*n*((4·n + 3)*(2·n² + 1) - 3*(-1)ⁿ). A325656

Numbers k such that φ(k) = bigomega(k)*τ(k)². A68540