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Properties of the Number 2230

Two Thousand Two Hundred Thirty

Basics

Value: 2229 → 2230 → 2231

Parity: even

Prime: No

Previous Prime: 2221

Next Prime: 2237

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 223

Divisors: 1, 2, 5, 10, 223, 446, 1115, 2230

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100010110110

Octal: 4266

Duodecimal: 135A

Hexadecimal: 8b6

Square: 4972900

Square Root: 47.22287581247038

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

Numbers m such that the Bernoulli number Bm has denominator 66. A51230
List of free polyominoes in binary coding, ordered by number of bits, then value of the binary code. Can be read as irregular table with row lengths A000105 (in which case the offset is 0). A246521
Goodstein sequence starting with 4: to calculate a(n+1), write a(n) in the hereditary representation in base n+2, then bump the base to n+3, then subtract 1. A56193
Number of 4's in the last section of the set of partitions of n. A182714
Start with any initial string of n numbers s(1), ..., s(n), with s(1) = 2, other s(i)'s = 2 or 3 (so there are 2n-1 starting strings). The rule for extending the string is this as follows: To get s(n+1), write the string s(1)s(2)...s(n) as xyk for words·and y (where y has positive length) and k is maximized, i.e., k = the maximal number of repeating blocks at the end of the sequence. Then a(n) = number of starting strings for which k = 1. A93371
Euler-φ of these numbers is a decimal repdigit. A96503
a(n) = ∑k=0..n (k+1) * A026615(n,k). A26960
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 4 6 or 7. A252640
a(n) = n*(11·n + 3)/2. A254963
Numbers n such that Q(sqrt(n)) has class number 6. A218038