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232125408 = 2532805991
BaseRepresentation
bin11011101010111…
…11001111100000
3121011210012012100
431311133033200
5433411003113
635011130400
75516014314
oct1565371740
9534705170
10232125408
1110a035289
12658a3a00
1339124818
1422b85b44
15155a2d73
hexdd5f3e0

232125408 has 36 divisors (see below), whose sum is σ = 660107448. Its totient is φ = 77375040.

The previous prime is 232125403. The next prime is 232125409. The reversal of 232125408 is 804521232.

232125408 is a `hidden beast` number, since 232 + 1 + 25 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232125403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 402708 + ... + 403283.

It is an arithmetic number, because the mean of its divisors is an integer number (18336318).

Almost surely, 2232125408 is an apocalyptic number.

It is an amenable number.

232125408 is an abundant number, since it is smaller than the sum of its proper divisors (427982040).

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

232125408 is a wasteful number, since it uses less digits than its factorization.

232125408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806007 (or 805996 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 232125408 is about 15235.6623748362. The cubic root of 232125408 is about 614.5740616043.

The spelling of 232125408 in words is "two hundred thirty-two million, one hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 805991 1611982 2417973 3223964 4835946 6447928 7253919 9671892 12895856 14507838 19343784 25791712 29015676 38687568 58031352 77375136 116062704 232125408