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232150912 = 2771715241
BaseRepresentation
bin11011101011001…
…01011110000000
3121011211111011221
431311211132000
5433412312122
635011444424
75516151550
oct1565453600
9534744157
10232150912
1110a052464
12658b6714
1339133306
1422b91160
15155aa6c7
hexdd65780

232150912 has 64 divisors (see below), whose sum is σ = 559686240. Its totient is φ = 93634560.

The previous prime is 232150903. The next prime is 232150967. The reversal of 232150912 is 219051232.

It is a happy number.

232150912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7612 + ... + 22852.

Almost surely, 2232150912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232150912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279843120).

232150912 is an abundant number, since it is smaller than the sum of its proper divisors (327535328).

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

232150912 is a wasteful number, since it uses less digits than its factorization.

232150912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15279 (or 15267 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 232150912 is about 15236.4993354773. The cubic root of 232150912 is about 614.5965688674.

The spelling of 232150912 in words is "two hundred thirty-two million, one hundred fifty thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 3808 7616 15232 15241 30482 60964 106687 121928 213374 243856 259097 426748 487712 518194 853496 975424 1036388 1706992 1813679 1950848 2072776 3413984 3627358 4145552 6827968 7254716 8291104 13655936 14509432 16582208 29018864 33164416 58037728 116075456 232150912