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23198256 = 2432712269
BaseRepresentation
bin101100001111…
…1101000110000
31121122121000200
41120133220300
521414321011
62145115200
7401116254
oct130375060
947577020
1023198256
1112105214
127928b00
134a630a3
14311c264
152083856
hex161fa30

23198256 has 60 divisors (see below), whose sum is σ = 65866320. Its totient is φ = 7620480.

The previous prime is 23198249. The next prime is 23198293. The reversal of 23198256 is 65289132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23198256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9090 + ... + 11358.

It is an arithmetic number, because the mean of its divisors is an integer number (1097772).

Almost surely, 223198256 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 23198256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32933160).

23198256 is an abundant number, since it is smaller than the sum of its proper divisors (42668064).

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

23198256 is a wasteful number, since it uses less digits than its factorization.

23198256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2345 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 23198256 is about 4816.4567889684. The cubic root of 23198256 is about 285.2014826424.

The spelling of 23198256 in words is "twenty-three million, one hundred ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2269 2556 3408 4538 5112 6807 9076 10224 13614 18152 20421 27228 36304 40842 54456 81684 108912 161099 163368 322198 326736 483297 644396 966594 1288792 1449891 1933188 2577584 2899782 3866376 5799564 7732752 11599128 23198256