Properties of the Number 22906

Twenty-Two Thousand Nine Hundred Six

Basics

Value: 22905 → 22906 → 22907

Parity: even

Prime: No

Previous Prime: 22901

Next Prime: 22907

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 881

Divisors: 1, 2, 13, 26, 881, 1762, 11453, 22906

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100101111010

Octal: 54572

Duodecimal: 1130A

Hexadecimal: 597a

Square: 524684836

Square Root: 151.34728276384746

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=0..n binomial(k+2,2) * binomial(k,2*(n-k)). A391963

The number of trisubstitution products with composition C_n H_2n-1 X₂ Y. A159940

a(n) = ∑_{p in P} binomial(H(2,p),2), where P is the set of partitions of n, and H(2,p) = number of hooks of size 2 in p. A301313

Expansion of ∏_k>0 theta₃(q^2·k)/theta₃(q^2·k-1), where theta₃() is the Jacobi θ function. A321027

Length of cycles obtained by repeated application of the strip bijection for the triangular lattice (A367147), sorted by increasing minimum radius visited by any cycle of this length. A367149

Number of binary strings of length n with equal numbers of 00101 and 01010 substrings. A164245

Numbers k such that 25·2^k + 9 is prime. A392300

Number of n X n matrices over GF(2) such that the row space is equal to the column space. A393204

Irregular triangle read by rows: row n lists the residues r mod n of numbers k such that rad(k) | n, where rad = A007947. A381801

a(n) = M(n) - m(n) for n >= 2, where M(n) = max{ a(i) + a(n-i): i = 1..n-1 }, m(n) = min{ a(i) + a(n-i): i = 1..n-1 }. A22906