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230015232 = 283299833
BaseRepresentation
bin11011011010111…
…00000100000000
3121000210222120200
431231130010000
5432340441412
634454005200
75462045226
oct1555340400
9530728520
10230015232
11108923937
1265046800
13388661b5
1422796b16
15152d79dc
hexdb5c100

230015232 has 54 divisors (see below), whose sum is σ = 663197262. Its totient is φ = 76670976.

The previous prime is 230015231. The next prime is 230015237. The reversal of 230015232 is 232510032.

It can be written as a sum of positive squares in only one way, i.e., 176783616 + 53231616 = 13296^2 + 7296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230015231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47613 + ... + 52220.

Almost surely, 2230015232 is an apocalyptic number.

It is an amenable number.

230015232 is an abundant number, since it is smaller than the sum of its proper divisors (433182030).

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

230015232 is an equidigital number, since it uses as much as digits as its factorization.

230015232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99855 (or 99838 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230015232 is about 15166.2530639575. The cubic root of 230015232 is about 612.7060926347.

Adding to 230015232 its reverse (232510032), we get a palindrome (462525264).

The spelling of 230015232 in words is "two hundred thirty million, fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 99833 199666 299499 399332 598998 798664 898497 1197996 1597328 1796994 2395992 3194656 3593988 4791984 6389312 7187976 9583968 12778624 14375952 19167936 25557248 28751904 38335872 57503808 76671744 115007616 230015232