Properties of the Number 22770

Twenty-Two Thousand Seven Hundred Seventy

Basics

Value: 22769 → 22770 → 22771

Parity: even

Prime: No

Previous Prime: 22769

Next Prime: 22777

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 11 × 23

Divisors: 1, 2, 3, 5, 6, 9, 10, 11, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100011110010

Octal: 54362

Duodecimal: 11216

Hexadecimal: 58f2

Square: 518472900

Square Root: 150.8973160795115

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) = n*(n+1)*(2·n+1). A55112

Fourth partial sums of fourth powers (A000583). A101091

Numbers that have exactly six prime factors counted with multiplicity (A046306) whose digit reversal is different and also has 6 prime factors (with multiplicity). A109026

Sum over all Dyck paths of semilength n of products over all peaks p of x_p+y_p, where x_p and y_p are the coordinates of peak p. A258175

Largest area of a Pythagorean triangle with n as length of one of the three sides (in fact as a leg). A55522

Fifth column (m=4) of (1,6)-Pascal triangle A096956. A96958

Least positive integer k such that prime(k)-k, prime(k)+k, prime(k·n)-k·n, prime(k·n)+k·n, prime(k)+k·n and prime(k·n)+k are all prime. A259492

a(n) = ∑_{0 < x,y,z <= n and gcd(x² + y² + z², n)=1} gcd(x² + y² + z² - 1, n). A239612

Numbers k with the property that k² is a product of two distinct triangular numbers. A175497

Number of (w,x,y,z) with all terms in {1,...,n} and 2∣w-x|>n+|y-z|. A212689