Properties of the Number 35224

Thirty-Five Thousand Two Hundred Twenty-Four

Basics

Value: 35223 → 35224 → 35225

Parity: even

Prime: No

Previous Prime: 35221

Next Prime: 35227

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 7 × 17 × 37

Divisors: 1, 2, 4, 7, 8, 14, 17, 28, 34, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1000100110011000

Octal: 104630

Duodecimal: 18474

Hexadecimal: 8998

Square: 1240730176

Square Root: 187.68057970924963

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

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,34). A250241

Square array read by antidiagonals: the n-th row lists n-gonal numbers that are products of smaller n-gonal numbers. A374370

Expansion of sum ( qⁿ / product( 1-q^k, k=1..6·n), n=0..inf ). A35298

Number of sets of nonempty words with a total of n letters over binary alphabet such that all letters occur at least once in the set. A320203

Number of n-digit numbers with nonzero multiplicative digital root 1. A51812

Heptagonal numbers divisible by 7. A117795

Triangle read by rows: T(n,k) is the number of paths of length n in the first quadrant, starting at the origin, ending at height k and consisting of 2 kind of upsteps U=(1,1) (U1 and U2), 3 kind of flatsteps F=(1,0) (F1, F2 and F3) and 1 kind of downsteps D=(1,-1). A134426

Sum of primes between successive squares of primes. A175037

Least heptagonal (7-gonal) number that is the product of n heptagonal numbers greater than 1. A225067

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 825", based on the 5-celled von Neumann neighborhood. A273581