Properties of the Number 2228

Two Thousand Two Hundred Twenty-Eight

Basics

Value: 2227 → 2228 → 2229

Parity: even

Prime: No

Previous Prime: 2221

Next Prime: 2237

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 557

Divisors: 1, 2, 4, 557, 1114, 2228

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100010110100

Octal: 4264

Duodecimal: 1358

Hexadecimal: 8b4

Square: 4963984

Square Root: 47.20169488482379

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

Number of partitions of n in which each part occurs an odd number (or zero) times. A55922

Years in which there are five Fridays in the month of February. A141287

a(n) = 1 + ∑_i=1..n (n-i+1)*φ(i). A5598

Number of partitions p of n such that (number of distinct parts of p) <= max(p) - min(p). A239955

T(n,k)=Number of length n+5 0..k arrays with every six consecutive terms having the maximum of some two terms equal to the minimum of the remaining four terms. A250081

Numbers n such that P(4n) is prime, where P(m) is the number of partitions of m. A111045

T(n,k) = Number of length n+3 0..k arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth. A249290

Sum of the even parts appearing among the largest parts of the partitions of n into 3 parts. A309694

Numbers n such that p(2n) is prime, where p(n) is the number of partitions of n. A114165

T(n,k)=Number of nXk binary arrays with top left value 1 and no two ones adjacent horizontally, diagonally or antidiagonally. A228660