Properties of the Number 22217

Twenty-Two Thousand Two Hundred Seventeen

Basics

Value: 22216 → 22217 → 22218

Parity: odd

Prime: No

Previous Prime: 22193

Next Prime: 22229

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 13 × 1709

Divisors: 1, 13, 1709, 22217

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011011001001

Octal: 53311

Duodecimal: 10A35

Hexadecimal: 56c9

Square: 493595089

Square Root: 149.05368160498418

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

For k in {2,3,...,9} define a sequence as follows: a(0)=0; for n>=0, a(n+1)=a(n)+1, unless a(n) ends in k, in which case a(n+1) is obtained by replacing the last digit of a(n) with the digit(s) of k². This is k(4). A237341

Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 9·x + 1. A257608

Numbers n such that n'' = n'+1 where n' and n'' are respectively the first and the second arithmetic derivative of n (A003415). A189639

Super-4 Numbers (4·n⁴ contains substring '4444' in its decimal expansion). A32744

Least inverse of A048182. A48183

Number of primitive (aperiodic) step shifted (decimated) sequence structures using a maximum of three different symbols. A56402

Total sum of squares of number of distinct parts in all partitions of n. A135348

a(n) = 2·n*(1 + n + n² + n³) - 3. A155121

a(n) = 42·n² - 1. A158626

a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5, n+6, n+7 and the operators +, -, *, /, using each number only once. A143192