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23197216 = 257293571
BaseRepresentation
bin101100001111…
…1011000100000
31121122112121011
41120133120200
521414302331
62145110304
7401113240
oct130373040
947575534
1023197216
1112104459
127928394
134a62783
14311bb20
1520833b1
hex161f620

23197216 has 48 divisors (see below), whose sum is σ = 54008640. Its totient is φ = 9596160.

The previous prime is 23197211. The next prime is 23197217. The reversal of 23197216 is 61279132.

It is a super-2 number, since 2×231972162 = 1076221660301312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23197211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4711 + ... + 8281.

It is an arithmetic number, because the mean of its divisors is an integer number (1125180).

Almost surely, 223197216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23197216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27004320).

23197216 is an abundant number, since it is smaller than the sum of its proper divisors (30811424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23197216 is a wasteful number, since it uses less digits than its factorization.

23197216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3609 counting only the distinct ones).

The product of its digits is 4536, while the sum is 31.

The square root of 23197216 is about 4816.3488245766. The cubic root of 23197216 is about 285.1972206269.

The spelling of 23197216 in words is "twenty-three million, one hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 3571 6496 7142 14284 24997 28568 49994 57136 99988 103559 114272 199976 207118 399952 414236 724913 799904 828472 1449826 1656944 2899652 3313888 5799304 11598608 23197216