Properties of the Number 22164

Twenty-Two Thousand One Hundred Sixty-Four

Basics

Value: 22163 → 22164 → 22165

Parity: even

Prime: No

Previous Prime: 22159

Next Prime: 22171

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1847

Divisors: 1, 2, 3, 4, 6, 12, 1847, 3694, 5541, 7388

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101011010010100

Octal: 53224

Duodecimal: 109B0

Hexadecimal: 5694

Square: 491242896

Square Root: 148.87578715157142

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

G.f. satisfies: A(x) = 1/(1 + x·A(x²)) and also the continued fraction: 1 + x·A(x³) = [1; 1/x, 1/x², 1/x⁴, 1/x⁸, ..., 1/x^{2^(n-1}), ...]. A101912

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 111 in rows and columns. A202378

Square array A(n,k): number of integers having k or more factors less than prime(n+1) in their prime factorization, within any interval of primorial(n)^k positive integers. A281891

Triangle read by rows: T(n,k) is the number of oriented colorings of the edges of a regular n-D orthotope (or ridges of a regular n-D orthoplex) using exactly k colors. Row n has n·2^n-1 columns. A338142

Triangle read by rows: T(n,k) is the number of oriented colorings of the edges of a regular n-D orthoplex (or ridges of a regular n-D orthotope) using exactly k colors. Row 1 has 1 column; row n>1 has 2·n*(n-1) columns. A338146

Ulam's spiral (SSE spoke). A143839

Triangle read by rows: T(n,k) is the number of binary trees with n edges and k jumps (n >= 0, 0 <= k <= max(0,ceiling(n/2)-1) ). A127530

Numbers n with property that for each single digit d of n, we can also see the decimal expansion of 2^d as a substring of n. Also n may not contain any zero digits. A135016

Number of (n+2)X3 binary arrays avoiding patterns 001 and 111 in rows and columns. A202371

Number of 3 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4. A239987