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233825304 = 23327135951
BaseRepresentation
bin11011110111111…
…10010000011000
3121021222120000110
431323332100120
5434324402204
635111404320
75536324266
oct1573762030
9537876013
10233825304
1110aa96459
12663836a0
133959b48b
14230a9436
15157db889
hexdefe418

233825304 has 32 divisors (see below), whose sum is σ = 586736640. Its totient is φ = 77652000.

The previous prime is 233825303. The next prime is 233825323. The reversal of 233825304 is 403528332.

233825304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233825303) 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, 11472 + ... + 24479.

It is an arithmetic number, because the mean of its divisors is an integer number (18335520).

Almost surely, 2233825304 is an apocalyptic number.

233825304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233825304 is an abundant number, since it is smaller than the sum of its proper divisors (352911336).

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

233825304 is a wasteful number, since it uses less digits than its factorization.

233825304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36231 (or 36227 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 233825304 is about 15291.3473572475. The cubic root of 233825304 is about 616.0706263543.

The spelling of 233825304 in words is "two hundred thirty-three million, eight hundred twenty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 271 542 813 1084 1626 2168 3252 6504 35951 71902 107853 143804 215706 287608 431412 862824 9742721 19485442 29228163 38970884 58456326 77941768 116912652 233825304