Properties of the Number 22424

Twenty-Two Thousand Four Hundred Twenty-Four

Basics

Value: 22423 → 22424 → 22425

Parity: even

Prime: No

Previous Prime: 22409

Next Prime: 22433

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 2803

Divisors: 1, 2, 4, 8, 2803, 5606, 11212, 22424

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011110011000

Octal: 53630

Duodecimal: 10B88

Hexadecimal: 5798

Square: 502835776

Square Root: 149.74645237867907

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 with digits 2 and 4 only. A284920

Numbers k such that k²+k+5 is a palindrome. A27718

G.f.: 1 / ∏_n>=0 (1 - xⁿ⁺⁴)⁽ⁿ⁺¹*(n+2)*(n+3)/3!). A264924

Triangle read by rows: T(n,k) is the number of unlabeled connected weakly graded (ranked) posets with n elements and rank k. A361954

Discriminants of quintic fields with 2 complex conjugates (negated). A23684

Expansion of (1/x) * Series_Reversion( x*(1+x-x⁵)/(1+x) ). A366101

Numbers k such that the sums (with multiplicity) of prime factors of k and k+1 are both squares. A359445

Numbers n with property that (n+1)*prime(n+1)-n·prime(n) is a perfect square s². A181283

Solution a( ) of the complementary equation a(n) = b(n-1) + b(n-2), where a(0) = 1, a(1) = 2; see Comments. A22424

Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; then a(n) is the number of partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p <= A000230(n). A79023