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230890632 = 23372236163
BaseRepresentation
bin11011100001100…
…01110010001000
3121002110110101220
431300301302020
5433102000012
634524442040
75502352350
oct1560616210
9532413356
10230890632
11109371605
12653a9320
1338ab179b
1422943b60
151540c08c
hexdc31c88

230890632 has 64 divisors (see below), whose sum is σ = 662753280. Its totient is φ = 65662272.

The previous prime is 230890613. The next prime is 230890687. The reversal of 230890632 is 236098032.

It is a junction number, because it is equal to n+sod(n) for n = 230890593 and 230890602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34383 + ... + 40545.

It is an arithmetic number, because the mean of its divisors is an integer number (10355520).

Almost surely, 2230890632 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 230890632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331376640).

230890632 is an abundant number, since it is smaller than the sum of its proper divisors (431862648).

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

230890632 is a wasteful number, since it uses less digits than its factorization.

230890632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 230890632 is about 15195.0857845555. The cubic root of 230890632 is about 613.4823947193.

The spelling of 230890632 in words is "two hundred thirty million, eight hundred ninety thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 892 1338 1561 1784 2676 3122 4683 5352 6163 6244 9366 12326 12488 18489 18732 24652 36978 37464 43141 49304 73956 86282 129423 147912 172564 258846 345128 517692 1035384 1374349 2748698 4123047 5497396 8246094 9620443 10994792 16492188 19240886 28861329 32984376 38481772 57722658 76963544 115445316 230890632