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Properties of the Number 2252

Two Thousand Two Hundred Fifty-Two

Basics

Value: 2251 → 2252 → 2253

Parity: even

Prime: No

Previous Prime: 2251

Next Prime: 2267

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 2 × 563

Divisors: 1, 2, 4, 563, 1126, 2252

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100011001100

Octal: 4314

Duodecimal: 1378

Hexadecimal: 8cc

Square: 5071504

Square Root: 47.45524207081869

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

The Franel number a(n) = ∑k = 0..n binomial(n,k)3. A172
Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n2 + 2. Also coordination sequence for f.c.c. or A3 or D3 lattice. A5901
Numbers that are the sum of 5 positive 6th powers. A3361
Number of integer partitions of n whose sequence of frequencies is strictly increasing. A100471
Number of binary carry-connected integer partitions of n. A325098
Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways. A954
Square array A(n, k) = ∑j=0..n binomial(n,j)k, n >= 0, k >= 0, read by antidiagonals. A309010
Number of relatively prime strict integer partitions of n with no 1's. A337452
Numbers using only the digits 2 and 5, that are both curved and straight. A72961
Values of k for which A075059(k) = A003418(k) + 1 is prime. A49537