Properties of the Number 42224

Forty-Two Thousand Two Hundred Twenty-Four

Basics

Value: 42223 → 42224 → 42225

Parity: even

Prime: No

Previous Prime: 42223

Next Prime: 42227

Digit Sum: 14

Digital Root: 5

Palindrome: Yes

Factorization: 2 ⁴ × 7 × 13 × 29

Divisors: 1, 2, 4, 7, 8, 13, 14, 16, 26, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010011110000

Octal: 122360

Duodecimal: 20528

Hexadecimal: a4f0

Square: 1782866176

Square Root: 205.48479262466117

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

Expansion of x⁹/((1-x)*(1-x²)*(1-x³))². A117485

Palindromic in bases 10 and 36. A250412

a(1) = 1, a(n) = smallest nontrivial palindromic multiple of a(n-1). a(n) is not equal to a(n-1) or a concatenation of a(n-1) with itself. A83147

Palindromes with exactly 7 prime factors (counted with multiplicity). A46333

Numbers k that divide the alternating sum σ(1) - σ(2) + σ(3) - σ(4) + ... + ((-1)^k+1)*σ(k). A67931

Expansion of 1/((1-x)⁴*(1-x²)²). A28346

E.g.f. satisfies A(x)^A(x²) = 1/(1 - x·A(x)). A355767

Number of rooted ordered trees with n internal nodes where each node has out-degree 0, 2, or 6. A380761

Palindromes of the form k*(k+5). A28559

Numbers m that minimize | k /(k- EulerPhi(k)) - golden ratio φ | when k runs over all the numbers with the same number of digits as m. A65758