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232011825 = 35241197383
BaseRepresentation
bin11011101010000…
…11100000110001
3121011120102101120
431311003200301
5433343334300
635004452453
75515032213
oct1565034061
9534512346
10232011825
11109a67a11
126584a129
13390b4c06
1422b565b3
151557e3a0
hexdd43831

232011825 has 48 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 119795200.

The previous prime is 232011823. The next prime is 232011863. The reversal of 232011825 is 528110232.

It is not a de Polignac number, because 232011825 - 21 = 232011823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232011795 and 232011804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232011823) 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 47 ways as a sum of consecutive naturals, for example, 605584 + ... + 605966.

It is an arithmetic number, because the mean of its divisors is an integer number (8249472).

Almost surely, 2232011825 is an apocalyptic number.

232011825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232011825 is a deficient number, since it is larger than the sum of its proper divisors (163962831).

232011825 is a wasteful number, since it uses less digits than its factorization.

232011825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 232011825 is about 15231.9343814238. The cubic root of 232011825 is about 614.4738046571.

The spelling of 232011825 in words is "two hundred thirty-two million, eleven thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 197 205 383 591 615 985 1025 1149 1915 2955 3075 4925 5745 8077 9575 14775 15703 24231 28725 40385 47109 75451 78515 121155 201925 226353 235545 377255 392575 605775 1131765 1177725 1886275 3093491 5658825 9280473 15467455 46402365 77337275 232011825