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232903125 = 325572132
BaseRepresentation
bin11011110000111…
…01000111010101
3121020020201000200
431320131013111
5434110400000
635035531113
75525433600
oct1570350725
9536221020
10232903125
1110a516624
1265bb9a99
1339337800
1422d09337
15156a8500
hexde1d1d5

232903125 has 162 divisors, whose sum is σ = 529665318. Its totient is φ = 98280000.

The previous prime is 232903117. The next prime is 232903127. The reversal of 232903125 is 521309232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 205119684 + 27783441 = 14322^2 + 5271^2 .

It is not a de Polignac number, because 232903125 - 23 = 232903117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232903127) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 17915619 + ... + 17915631.

It is an arithmetic number, because the mean of its divisors is an integer number (3269539).

Almost surely, 2232903125 is an apocalyptic number.

232903125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232903125 is an abundant number, since it is smaller than the sum of its proper divisors (296762193).

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

232903125 is an equidigital number, since it uses as much as digits as its factorization.

232903125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 232903125 is about 15261.1639464361. The cubic root of 232903125 is about 615.2596563685.

The spelling of 232903125 in words is "two hundred thirty-two million, nine hundred three thousand, one hundred twenty-five".