Properties of the Number 22716

Twenty-Two Thousand Seven Hundred Sixteen

Basics

Value: 22715 → 22716 → 22717

Parity: even

Prime: No

Previous Prime: 22709

Next Prime: 22717

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 631

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 631

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100010111100

Octal: 54274

Duodecimal: 11190

Hexadecimal: 58bc

Square: 516016656

Square Root: 150.71828024496563

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+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

Expansion of 1/((1+x)*(1-x)⁷). A1769

Number of partitions of n containing a clique of size 2. A183559

The sum over all bitstrings b of length n with at least two runs of the number of runs in b not immediately followed by a longer run. A208903

Let (u1,u2) be successive untouchable numbers such that φ(u1) = φ(u2); sequence gives values of u1. A48189

Diagonal sums of binomial-Möbius product. A101510

Triangle read by rows: T(n,k) is the number of deco polyominoes of height n and having k columns ending at an odd level (0<=k<=n). A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A121697

Number of permutations of [n] such that for each cycle c the smallest integer interval containing all elements of c has at most four elements. A276838

Number of deco polyominoes of height n in which all columns end at an even level. A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column. A121751

Number of compositions of n where the difference between largest and smallest parts equals 5 and adjacent parts are unequal. A214274