Properties of the Number 2264

Two Thousand Two Hundred Sixty-Four

Basics

Value: 2263 → 2264 → 2265

Parity: even

Prime: No

Previous Prime: 2251

Next Prime: 2267

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 283

Divisors: 1, 2, 4, 8, 283, 566, 1132, 2264

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 100011011000

Octal: 4330

Duodecimal: 1388

Hexadecimal: 8d8

Square: 5125696

Square Root: 47.58150901348127

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

Numbers k such that k, k+1 and k+2 have the same number of divisors. A5238

Indices n such that A019328(n) = φ(n,10) is prime, where φ is a cyclotomic polynomial. A138940

Number of partitions of n into distinct double-free parts. A120641

Indices k such that A020509(k)=φ[k](-10) is prime, where φ is a cyclotomic polynomial. A138920

Triangle read by rows: T(m,n) = ∑_{-m<i<m, -n<j<n, gcd{i,j}=1} (m-|i|)*(n-|j|), m >= n >= 1. A332350

Unique period lengths of primes mentioned in A007615. A7498

Values of k for which A075059(k) = A003418(k) + 1 is prime. A49537

Years in which there are five Mondays in the month of February. A135795

a(n) = least integer m > a(n-1) such that m - a(n-1) ≠ a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2. A4978

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251137