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230766156 = 22326410171
BaseRepresentation
bin11011100000100…
…11011001001100
3121002020010122200
431300103121030
5433034004111
634522041500
75501323425
oct1560233114
9532203580
10230766156
11109297035
1265349290
1338a69c2a
142291064c
15153d5256
hexdc1364c

230766156 has 18 divisors (see below), whose sum is σ = 583325652. Its totient is φ = 76922040.

The previous prime is 230766149. The next prime is 230766161. The reversal of 230766156 is 651667032.

230766156 is a `hidden beast` number, since 2 + 30 + 7 + 6 + 615 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-5 number, since 5×2307661565 (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6410171 = 230766156 / (2 + 3 + 0 + 7 + 6 + 6 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 230766156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3205050 + ... + 3205121.

Almost surely, 2230766156 is an apocalyptic number.

It is an amenable number.

230766156 is an abundant number, since it is smaller than the sum of its proper divisors (352559496).

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

230766156 is a wasteful number, since it uses less digits than its factorization.

230766156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410181 (or 6410176 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 230766156 is about 15190.9893028729. The cubic root of 230766156 is about 613.3721295822.

The spelling of 230766156 in words is "two hundred thirty million, seven hundred sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 6410171 12820342 19230513 25640684 38461026 57691539 76922052 115383078 230766156