Properties of the Number 2245

Two Thousand Two Hundred Forty-Five

Basics

Value: 2244 → 2245 → 2246

Parity: odd

Prime: No

Previous Prime: 2243

Next Prime: 2251

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 449

Divisors: 1, 5, 449, 2245

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011000101

Octal: 4305

Duodecimal: 1371

Hexadecimal: 8c5

Square: 5040025

Square Root: 47.38143096192854

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 square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Number of partitions of n into pairwise relatively prime parts. A51424

Array T(m,n) read by antidiagonals: number of domino tilings (or dimer tilings) of the m X n grid (or m X n rectangle), for m>=1, n>=1. A99390

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 4.8.8 2D tiling (cf. A008576). A299259

a(n) = 8·n² - 4·n + 1. A80856

Number of domino tilings of 4 X (n-1) board. A5178

Number of integer partitions of 2n with reverse-alternating sum -2. A344741

Least hypotenuse of primitive Pythagorean triangles with odd leg 2n+1. A96891

Postludic numbers: Second column of Ludic array A255127. A254100

Array T(m,n) read by antidiagonals: number of domino tilings of the m X n grid (m>=0, n>=0). A187596