Properties of the Number 22452

Twenty-Two Thousand Four Hundred Fifty-Two

Basics

Value: 22451 → 22452 → 22453

Parity: even

Prime: No

Previous Prime: 22447

Next Prime: 22453

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1871

Divisors: 1, 2, 3, 4, 6, 12, 1871, 3742, 5613, 7484

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101011110110100

Octal: 53664

Duodecimal: 10BB0

Hexadecimal: 57b4

Square: 504092304

Square Root: 149.8399145755229

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

Number of solutions to c(1)*prime(3) + ... + c(2n)*prime(2n+2) = -2, where c(i) = +-1 for i > 1, c(1) = 1. A261060

T(n,k)=Number of (n+1)X(k+1) binary arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A184071

Number of parts that are visible in one of the three views of the section model of partitions version "tree" with n sections. A194805

Sum of the ninth largest parts of the partitions of n into 10 parts. A326590

Number of (n+1)X5 binary arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A184066

Number of (n+1)X7 binary arrays with rows and columns in nondecreasing order and with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A184068

Coefficient of y⁰ in G(x,y)³ where G(x,y) = ∑_n=-oo..+oo (1-xⁿ)ⁿ * xⁿ * yⁿ. A263188

Expansion of 1/((1-x)*(1-5·x)*(1-7·x)*(1-8·x)). A22452

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (0, 1), (1, -1)}. A151375

Expansion of g.f. A(x) satisfying x = A(x - x²) - A(x + x²)². A374568