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230832 = 24327229
BaseRepresentation
bin111000010110110000
3102201122100
4320112300
524341312
64540400
71650660
oct702660
9381570
10230832
11148478
12b1700
13810b4
14601a0
15485dc
hex385b0

230832 has 60 divisors (see below), whose sum is σ = 741520. Its totient is φ = 65664.

The previous prime is 230827. The next prime is 230833. The reversal of 230832 is 238032.

230832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (230833) by changing a digit.

230832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 894 + ... + 1122.

2230832 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 230832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370760).

230832 is an abundant number, since it is smaller than the sum of its proper divisors (510688).

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

230832 is a wasteful number, since it uses less digits than its factorization.

230832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230832 is about 480.4497892600. The cubic root of 230832 is about 61.3430461408.

Adding to 230832 its reverse (238032), we get a palindrome (468864).

The spelling of 230832 in words is "two hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 229 252 336 458 504 687 916 1008 1374 1603 1832 2061 2748 3206 3664 4122 4809 5496 6412 8244 9618 10992 12824 14427 16488 19236 25648 28854 32976 38472 57708 76944 115416 230832