Properties of the Number 22748

Twenty-Two Thousand Seven Hundred Forty-Eight

Basics

Value: 22747 → 22748 → 22749

Parity: even

Prime: No

Previous Prime: 22741

Next Prime: 22751

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 11 ² × 47

Divisors: 1, 2, 4, 11, 22, 44, 47, 94, 121, 188

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100011011100

Octal: 54334

Duodecimal: 111B8

Hexadecimal: 58dc

Square: 517471504

Square Root: 150.82440120882296

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

Expansion of (2/(3·sqrt(1-4·z)-1+4·z))*((1-sqrt(1-4·z))/(2·z))^k with k=4. A172061

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234882

Number of n X 2 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280598

Consider coefficients U(m,l,k) defined by the identity ∑_k=1..l ∑_j=0..m A302971(m,j)/A304042(m,j) * k^j * (T-k)^j = ∑_k=0..m (-1)^m-k * U(m,l,k) * T^k that holds for all positive integers l,m,T. This sequence gives 2-column table read by rows, where n-th row lists coefficients U(1,n,k) for k = 0, 1 and n >= 1. A320047

Expansion of 1/((1+x)*(1-x)¹²). A1808

Primorial base Niven numbers (A333426) with a record gap to the next primorial base Niven number. A347496

Numbers that, when expressed in base 3 and then interpreted in base 10, yield a multiple of the original number. A32537

a(n) = ((11-sqrt(11))ⁿ + (11+sqrt(11))ⁿ) / 2. A289415

a(n) = 2·n³ + 3·n². A275709

Coordination sequence for α-Mn, Position Mn4. A9953