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232097376 = 2537569607
BaseRepresentation
bin11011101010110…
…00011001100000
3121011201202202010
431311120121200
5433404104001
635010352520
75515536510
oct1565303140
9534652663
10232097376
1110a016215
126588b740
1339114b34
1422b79840
15155998d6
hexdd58660

232097376 has 96 divisors (see below), whose sum is σ = 698664960. Its totient is φ = 66087936.

The previous prime is 232097363. The next prime is 232097387. The reversal of 232097376 is 673790232.

232097376 is digitally balanced in base 3, 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 (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 382065 + ... + 382671.

It is an arithmetic number, because the mean of its divisors is an integer number (7277760).

Almost surely, 2232097376 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 232097376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349332480).

232097376 is an abundant number, since it is smaller than the sum of its proper divisors (466567584).

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

232097376 is a wasteful number, since it uses less digits than its factorization.

232097376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 232097376 is about 15234.7424001852. The cubic root of 232097376 is about 614.5493214810.

The spelling of 232097376 in words is "two hundred thirty-two million, ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 569 607 672 1138 1214 1707 1821 2276 2428 3414 3642 3983 4249 4552 4856 6828 7284 7966 8498 9104 9712 11949 12747 13656 14568 15932 16996 18208 19424 23898 25494 27312 29136 31864 33992 47796 50988 54624 58272 63728 67984 95592 101976 127456 135968 191184 203952 345383 382368 407904 690766 1036149 1381532 2072298 2417681 2763064 4144596 4835362 5526128 7253043 8289192 9670724 11052256 14506086 16578384 19341448 29012172 33156768 38682896 58024344 77365792 116048688 232097376