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233085125 = 5371331661
BaseRepresentation
bin11011110010010…
…01100011000101
3121020120221200102
431321021203011
5434132211000
635043453445
75530122320
oct1571114305
9536527612
10233085125
1110a630339
1266087285
133939c5c0
1422d557b7
15156e23d5
hexde498c5

233085125 has 64 divisors (see below), whose sum is σ = 370126848. Its totient is φ = 142560000.

The previous prime is 233085101. The next prime is 233085133. The reversal of 233085125 is 521580332.

233085125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233085125 - 212 = 233081029 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352295 + ... + 352955.

It is an arithmetic number, because the mean of its divisors is an integer number (5783232).

Almost surely, 2233085125 is an apocalyptic number.

233085125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233085125 is a deficient number, since it is larger than the sum of its proper divisors (137041723).

233085125 is a wasteful number, since it uses less digits than its factorization.

233085125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 233085125 is about 15267.1256299279. The cubic root of 233085125 is about 615.4198776368.

The spelling of 233085125 in words is "two hundred thirty-three million, eighty-five thousand, one hundred twenty-five".

Divisors: 1 5 7 13 25 31 35 65 91 125 155 175 217 325 403 455 661 775 875 1085 1625 2015 2275 2821 3305 3875 4627 5425 8593 10075 11375 14105 16525 20491 23135 27125 42965 50375 60151 70525 82625 102455 115675 143437 214825 266383 300755 352625 512275 578375 717185 1074125 1331915 1503775 1864681 2561375 3585925 6659575 7518875 9323405 17929625 33297875 46617025 233085125