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204265125 = 3353292087
BaseRepresentation
bin11000010110011…
…01011010100101
3112020100202002000
430023031122211
5404242441000
632134035513
75030140101
oct1413153245
9466322060
10204265125
11a5336459
12584a8b99
133341b74c
141d1b2901
1512ded000
hexc2cd6a5

204265125 has 64 divisors (see below), whose sum is σ = 390873600. Its totient is φ = 105134400.

The previous prime is 204265121. The next prime is 204265129. The reversal of 204265125 is 521562402.

204265125 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 651 + 2 + 5 = 666.

204265125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204265121) and next prime (204265129).

It is not a de Polignac number, because 204265125 - 22 = 204265121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204265121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96832 + ... + 98918.

It is an arithmetic number, because the mean of its divisors is an integer number (6107400).

Almost surely, 2204265125 is an apocalyptic number.

204265125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

204265125 is a deficient number, since it is larger than the sum of its proper divisors (186608475).

204265125 is a wasteful number, since it uses less digits than its factorization.

204265125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 204265125 is about 14292.1350749284. The cubic root of 204265125 is about 588.9314423122.

The spelling of 204265125 in words is "two hundred four million, two hundred sixty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 87 125 135 145 225 261 375 435 675 725 783 1125 1305 2087 2175 3375 3625 3915 6261 6525 10435 10875 18783 19575 31305 32625 52175 56349 60523 93915 97875 156525 181569 260875 281745 302615 469575 544707 782625 907845 1408725 1513075 1634121 2347875 2723535 4539225 7043625 7565375 8170605 13617675 22696125 40853025 68088375 204265125