Properties of the Number 2226

Two Thousand Two Hundred Twenty-Six

Basics

Value: 2225 → 2226 → 2227

Parity: even

Prime: No

Previous Prime: 2221

Next Prime: 2237

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 53

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 53, 106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110010

Octal: 4262

Duodecimal: 1356

Hexadecimal: 8b2

Square: 4955076

Square Root: 47.18050444834179

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

Powers of cube root of 18 rounded up. A18029

Number of inequivalent ways to color faces of a cube using at most n colors. A47780

a(n) = n*(31·n-1)/2. A22288

Triangle read by rows: T(n,k) is the number of rooted trees with k nodes which are disjoint sets of labels with union {1..n}. If a node has an empty set of labels then it must have at least two children. A94262

3 times 10-gonal (or decagonal) numbers: a(n) = 3·n*(4·n-3). A152767

Triangle read by rows: T(n,k) is the number of compositions of n having k distinct parts (n>=1, 1<=k<=floor((sqrt(1+8·n)-1)/2)). A235998

Number of integer partitions of n whose parts are all equal or whose distinct parts are pairwise coprime. A304712

Positive numbers whose product of digits is four times their sum. A62036

Numbers that have exactly four prime factors counted with multiplicity (A014613) whose digit reversal is different and also has 4 prime factors (with multiplicity). A109024

Numbers k such that product of divisors of k / sum of divisors of k is an integer. A145551