Properties of the Number 2224

Two Thousand Two Hundred Twenty-Four

Basics

Value: 2223 → 2224 → 2225

Parity: even

Prime: No

Previous Prime: 2221

Next Prime: 2237

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 139

Divisors: 1, 2, 4, 8, 16, 139, 278, 556, 1112, 2224

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100010110000

Octal: 4260

Duodecimal: 1354

Hexadecimal: 8b0

Square: 4946176

Square Root: 47.15930449020638

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

Centered triangular numbers: a(n) = 3·n*(n-1)/2 + 1. A5448

Numbers k such that 3^k - 2 is prime. A14224

Number of partitions of n-1 boys and one girl with no couple. A120452

Number of partitions of n such that number of odd parts is greater than or equal to number of even parts. A130780

Product of the 4th power of a prime (A030514) and a different prime (p⁴*q). A178739

Expansion of 1 + ∑_k>0 x^k^2/((1-x)(1-x²)...(1-x^2k)). A122129

Number of pairwise coprime compositions of n, where a singleton is not considered coprime unless it is (1). A337462

Sum of cubes of primes dividing n. A5064

Least k such that ∑_i=1..k (prime(i) + prime(i+2) - 2·prime(i+1)) = 2n + 1. A73051

Triangle read by rows giving the coefficients of formulas generating each variety of S1(n,k) (unsigned Stirling numbers of first kind). The p-th row (p>=1) contains T(i,p) for i=1 to 2·p, where T(i,p) satisfies ∑_i=1..2·p T(i,p) * C(n,i). A94216