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23200896 = 273311949
BaseRepresentation
bin101100010000…
…0010010000000
31121122201122110
41120200102000
521414412041
62145135320
7401130045
oct130402200
947581573
1023200896
11121071a4
12792a540
134a64354
14311d1cc
152084516
hex1620480

23200896 has 64 divisors (see below), whose sum is σ = 63648000. Its totient is φ = 7480320.

The previous prime is 23200873. The next prime is 23200897. The reversal of 23200896 is 69800232.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (23200897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10930 + ... + 12878.

It is an arithmetic number, because the mean of its divisors is an integer number (994500).

Almost surely, 223200896 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 23200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31824000).

23200896 is an abundant number, since it is smaller than the sum of its proper divisors (40447104).

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

23200896 is a wasteful number, since it uses less digits than its factorization.

23200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 23200896 is about 4816.7308415563. The cubic root of 23200896 is about 285.2123010325.

The spelling of 23200896 in words is "twenty-three million, two hundred thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1949 1984 2976 3898 3968 5847 5952 7796 11694 11904 15592 23388 31184 46776 60419 62368 93552 120838 124736 181257 187104 241676 249472 362514 374208 483352 725028 748416 966704 1450056 1933408 2900112 3866816 5800224 7733632 11600448 23200896