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230186432 = 267975297
BaseRepresentation
bin11011011100001…
…01110111000000
3121001010200102102
431232011313000
5432411431212
634501405532
75463360320
oct1556056700
9531120372
10230186432
11108a30523
12651098a8
13388c60b8
14227dd280
151531d5c2
hexdb85dc0

230186432 has 56 divisors (see below), whose sum is σ = 527511264. Its totient is φ = 97615872.

The previous prime is 230186417. The next prime is 230186483. The reversal of 230186432 is 234681032.

230186432 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 (56).

It is a junction number, because it is equal to n+sod(n) for n = 230186395 and 230186404.

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, 40808 + ... + 46104.

It is an arithmetic number, because the mean of its divisors is an integer number (9419844).

Almost surely, 2230186432 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 230186432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263755632).

230186432 is an abundant number, since it is smaller than the sum of its proper divisors (297324832).

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

230186432 is an equidigital number, since it uses as much as digits as its factorization.

230186432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 230186432 is about 15171.8961240842. The cubic root of 230186432 is about 612.8580670184.

The spelling of 230186432 in words is "two hundred thirty million, one hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 776 1358 1552 2716 3104 5297 5432 6208 10594 10864 21188 21728 37079 42376 43456 74158 84752 148316 169504 296632 339008 513809 593264 1027618 1186528 2055236 2373056 3596663 4110472 7193326 8220944 14386652 16441888 28773304 32883776 57546608 115093216 230186432