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230135328 = 25325315077
BaseRepresentation
bin11011011011110…
…01011000100000
3121001001002022200
431231321120200
5432403312303
634500333200
75463055323
oct1555713040
9531032280
10230135328
111089a6095
12650a4200
13388a8a67
14227c87ba
151530d3a3
hexdb79620

230135328 has 72 divisors (see below), whose sum is σ = 666839628. Its totient is φ = 75259392.

The previous prime is 230135293. The next prime is 230135357. The reversal of 230135328 is 823531032.

230135328 is a `hidden beast` number, since 2 + 301 + 35 + 328 = 666.

230135328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 221771664 + 8363664 = 14892^2 + 2892^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 7726 + ... + 22802.

Almost surely, 2230135328 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 230135328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333419814).

230135328 is an abundant number, since it is smaller than the sum of its proper divisors (436704300).

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

230135328 is a wasteful number, since it uses less digits than its factorization.

230135328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15146 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230135328 is about 15170.2118640446. The cubic root of 230135328 is about 612.8127098464.

The spelling of 230135328 in words is "two hundred thirty million, one hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 5088 7632 15077 15264 30154 45231 60308 90462 120616 135693 180924 241232 271386 361848 482464 542772 723696 799081 1085544 1447392 1598162 2171088 2397243 3196324 4342176 4794486 6392648 7191729 9588972 12785296 14383458 19177944 25570592 28766916 38355888 57533832 76711776 115067664 230135328