Properties of the Number 22691

Twenty-Two Thousand Six Hundred Ninety-One

Basics

Value: 22690 → 22691 → 22692

Parity: odd

Prime: Yes

Previous Prime: 22679

Next Prime: 22697

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 22691

Divisors: 1, 22691

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101100010100011

Octal: 54243

Duodecimal: 1116B

Hexadecimal: 58a3

Square: 514881481

Square Root: 150.63532122314473

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

a(n) = ∑_{k=floor(n/4)..R} C(k, m·k - (-1)ⁿ*(R - k)) * C(k + 1, m*(k + 2) - (-1)ⁿ*(R - k + 1)) where m = (n + 1) mod 2 and R = (n + m - 3)/2 for n > 0 and a(0) = 1. A202411

a(n) = ∑_k=0..n binomial(k-1,2·k-1-n)*binomial(k,2·k-n), with a(0) = 1. A203611

Sum(sum(binomial(i,j),i=n..2·n),j=0..n). A85812

Expansion of (1/(1 - x)) * ∑_k>=1 x^k*(2·k-1) / ∏_j=1..2·k-1 (1 - x^j). A318156

Primes congruent to 60 mod 61. A142858

Smallest prime greater than n*(n+1)²/2. A181956

Expansion of (1/(1 - x)) * ∑_k>=0 x^k*(2·k+1) / ∏_j=1..2·k (1 - x^j). A318155

Primes of the form f(n) = 9·n⁴ - 444·n³ + 8059·n² - 63714·n + 185371 listed by increasing value of n >= 0. A117225

Primes expressed as the sum of square of digits of all primes. A181508

Primes that can be generated by the concatenation in base 3, in descending order, of two consecutive integers read in base 10. A287301