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230032 = 24111307
BaseRepresentation
bin111000001010010000
3102200112201
4320022100
524330112
64532544
71645435
oct701220
9380481
10230032
11147910
12b1154
138091a
145db8c
1548257
hex38290

230032 has 20 divisors (see below), whose sum is σ = 486576. Its totient is φ = 104480.

The previous prime is 230017. The next prime is 230047.

230032 is nontrivially palindromic in base 10.

230032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230017) and next prime (230047).

It is an unprimeable number.

230032 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 3 ways as a sum of consecutive naturals, for example, 478 + ... + 829.

2230032 is an apocalyptic number.

230032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230032 is an abundant number, since it is smaller than the sum of its proper divisors (256544).

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

230032 is a wasteful number, since it uses less digits than its factorization.

230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 230032 is about 479.6165134772. The cubic root of 230032 is about 61.2720980933.

It can be divided in two parts, 23003 and 2, that added together give a triangular number (23005 = T214).

The spelling of 230032 in words is "two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 1307 2614 5228 10456 14377 20912 28754 57508 115016 230032