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230188585 = 51121722381
BaseRepresentation
bin11011011100001…
…10011000101001
3121001010210101011
431232012120221
5432412013320
634501423521
75463366514
oct1556063051
9531123334
10230188585
11108a32100
126510aba1
13388c7083
14227ddd7b
151531e05a
hexdb86629

230188585 has 24 divisors (see below), whose sum is σ = 321495048. Its totient is φ = 157555200.

The previous prime is 230188537. The next prime is 230188627. The reversal of 230188585 is 585881032.

230188585 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 4 ways, for example, as 57108249 + 173080336 = 7557^2 + 13156^2 .

It is not a de Polignac number, because 230188585 - 213 = 230180393 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906 + ... + 21475.

It is an arithmetic number, because the mean of its divisors is an integer number (13395627).

Almost surely, 2230188585 is an apocalyptic number.

It is an amenable number.

230188585 is a deficient number, since it is larger than the sum of its proper divisors (91306463).

230188585 is a wasteful number, since it uses less digits than its factorization.

230188585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22425 (or 22414 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 230188585 is about 15171.9670774755. The cubic root of 230188585 is about 612.8599777584.

The spelling of 230188585 in words is "two hundred thirty million, one hundred eighty-eight thousand, five hundred eighty-five".

Divisors: 1 5 11 17 55 85 121 187 605 935 2057 10285 22381 111905 246191 380477 1230955 1902385 2708101 4185247 13540505 20926235 46037717 230188585