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230935329 = 32194132939
BaseRepresentation
bin11011100001111…
…00101100100001
3121002112201201100
431300330230201
5433104412304
634525425013
75502626562
oct1560745441
9532481640
10230935329
111093a2149
126540b169
1338ac8c31
1422956169
151541a439
hexdc3cb21

230935329 has 24 divisors (see below), whose sum is σ = 359704800. Its totient is φ = 142292160.

The previous prime is 230935319. The next prime is 230935333. The reversal of 230935329 is 923539032.

230935329 is a `hidden beast` number, since 2 + 30 + 93 + 532 + 9 = 666.

230935329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230935329 - 211 = 230933281 is a prime.

It is a super-2 number, since 2×2309353292 = 106662252360676482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230935293 and 230935302.

It is not an unprimeable number, because it can be changed into a prime (230935319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9459 + ... + 23480.

It is an arithmetic number, because the mean of its divisors is an integer number (14987700).

Almost surely, 2230935329 is an apocalyptic number.

It is an amenable number.

230935329 is a deficient number, since it is larger than the sum of its proper divisors (128769471).

230935329 is a wasteful number, since it uses less digits than its factorization.

230935329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33005 (or 33002 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 230935329 is about 15196.5564849409. The cubic root of 230935329 is about 613.5219791944.

The spelling of 230935329 in words is "two hundred thirty million, nine hundred thirty-five thousand, three hundred twenty-nine".

Divisors: 1 3 9 19 41 57 123 171 369 779 2337 7011 32939 98817 296451 625841 1350499 1877523 4051497 5632569 12154491 25659481 76978443 230935329