Properties of the Number 22700

Twenty-Two Thousand Seven Hundred

Basics

Value: 22699 → 22700 → 22701

Parity: even

Prime: No

Previous Prime: 22699

Next Prime: 22709

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 ² × 227

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 227

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100010101100

Octal: 54254

Duodecimal: 11178

Hexadecimal: 58ac

Square: 515290000

Square Root: 150.66519173319364

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

T(n,k)=Number of nXk binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally. A228754

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4. A209988

Number of (w,x,y,z) with all terms in {1,...,n} and w<|x-y|+|y-z|. A212692

Number of (w,x,y,z) with all terms in {0,...,n} and w=[R/2], where R=max{w,x,y,z}-min{w,x,y,z} and [ ]=floor. A212758

Number of 3 X n binary arrays with top left element equal to 1 and no two ones adjacent horizontally or antidiagonally. A228755

Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically. A253503

G.f.: 1/(1 - x·F'(x)/F(x)) where F(x) = ∑_n>=0 xⁿ/n!*∏_k=1..n (k² + 1). A262001

Number of 7 X n 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281211

a(n) = ∑_d∣n binomial(n,d)*binomial(n,n/d). A306842

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, 1), (1, 0, -1), (1, 0, 0)}. A148273