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232538409 = 32315031657
BaseRepresentation
bin11011101110001…
…00000100101001
3121012120011201200
431313010010221
5434012212114
635024034413
75522354355
oct1567040451
9535504650
10232538409
1110a297604
1265a62a09
133923a7bc
1422c52465
1515635409
hexddc4129

232538409 has 24 divisors (see below), whose sum is σ = 347622912. Its totient is φ = 149636160.

The previous prime is 232538357. The next prime is 232538417. The reversal of 232538409 is 904835232.

It is not a de Polignac number, because 232538409 - 216 = 232472873 is a prime.

It is a super-2 number, since 2×2325384092 = 108148223320502562, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (232538479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139509 + ... + 141165.

It is an arithmetic number, because the mean of its divisors is an integer number (14484288).

Almost surely, 2232538409 is an apocalyptic number.

It is an amenable number.

232538409 is a deficient number, since it is larger than the sum of its proper divisors (115084503).

232538409 is a wasteful number, since it uses less digits than its factorization.

232538409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 232538409 is about 15249.2101106910. The cubic root of 232538409 is about 614.9383321073.

The spelling of 232538409 in words is "two hundred thirty-two million, five hundred thirty-eight thousand, four hundred nine".

Divisors: 1 3 9 31 93 279 503 1509 1657 4527 4971 14913 15593 46779 51367 140337 154101 462303 833471 2500413 7501239 25837601 77512803 232538409