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230035392 = 2632616547
BaseRepresentation
bin11011011011000…
…00111111000000
3121000212000020100
431231200333000
5432342113032
634454242400
75462161056
oct1555407700
9530760210
10230035392
11108937aa4
1265056400
1338872422
14227a01d6
15152dd97c
hexdb60fc0

230035392 has 84 divisors (see below), whose sum is σ = 670266376. Its totient is φ = 75409920.

The previous prime is 230035387. The next prime is 230035417. The reversal of 230035392 is 293530032.

230035392 is a `hidden beast` number, since 2 + 300 + 353 + 9 + 2 = 666.

230035392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31863 + ... + 38409.

Almost surely, 2230035392 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 230035392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335133188).

230035392 is an abundant number, since it is smaller than the sum of its proper divisors (440230984).

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

230035392 is a wasteful number, since it uses less digits than its factorization.

230035392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6613 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 230035392 is about 15166.9176829045. The cubic root of 230035392 is about 612.7239925999.

The spelling of 230035392 in words is "two hundred thirty million, thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 6547 8784 11712 13094 17568 19641 26188 35136 39282 52376 58923 78564 104752 117846 157128 209504 235692 314256 399367 419008 471384 628512 798734 942768 1198101 1257024 1597468 1885536 2396202 3194936 3594303 3771072 4792404 6389872 7188606 9584808 12779744 14377212 19169616 25559488 28754424 38339232 57508848 76678464 115017696 230035392