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230735365 = 5724212237
BaseRepresentation
bin11011100000010…
…11111000000101
3121002011120102021
431300023320011
5433032012430
634521243141
75501134600
oct1560137005
9532146367
10230735365
11109275993
12653334b1
1338a58c03
1422903337
15153cb07a
hexdc0be05

230735365 has 24 divisors (see below), whose sum is σ = 322997112. Its totient is φ = 157772160.

The previous prime is 230735353. The next prime is 230735369. The reversal of 230735365 is 563537032.

It can be written as a sum of positive squares in 4 ways, for example, as 3389281 + 227346084 = 1841^2 + 15078^2 .

It is not a de Polignac number, because 230735365 - 211 = 230733317 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230735365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230735369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 102027 + ... + 104263.

It is an arithmetic number, because the mean of its divisors is an integer number (13458213).

Almost surely, 2230735365 is an apocalyptic number.

It is an amenable number.

230735365 is a deficient number, since it is larger than the sum of its proper divisors (92261747).

230735365 is a wasteful number, since it uses less digits than its factorization.

230735365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 34.

The square root of 230735365 is about 15189.9758064323. The cubic root of 230735365 is about 613.3448477346.

The spelling of 230735365 in words is "two hundred thirty million, seven hundred thirty-five thousand, three hundred sixty-five".

Divisors: 1 5 7 35 49 245 421 2105 2237 2947 11185 14735 15659 20629 78295 103145 109613 548065 941777 4708885 6592439 32962195 46147073 230735365