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232000 = 265329
BaseRepresentation
bin111000101001000000
3102210020121
4320221000
524411000
64550024
71654246
oct705100
9383217
10232000
1114933a
12b2314
13817a2
1460796
1548b1a
hex38a40

232000 has 56 divisors (see below), whose sum is σ = 594360. Its totient is φ = 89600.

The previous prime is 231967. The next prime is 232003. The reversal of 232000 is 232.

232000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 222784 = 96^2 + 472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232003) by changing a digit.

232000 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 7 ways as a sum of consecutive naturals, for example, 7986 + ... + 8014.

2232000 is an apocalyptic number.

232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297180).

232000 is an abundant number, since it is smaller than the sum of its proper divisors (362360).

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

232000 is an equidigital number, since it uses as much as digits as its factorization.

232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 232000 is about 481.6637831517. The cubic root of 232000 is about 61.4463365137.

Adding to 232000 its reverse (232), we get a palindrome (232232).

232000 divided by its reverse (232) gives a cube (1000 = 103).

It can be divided in two parts, 2 and 32000, that multiplied together give a cube (64000 = 403).

The spelling of 232000 in words is "two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 725 800 928 1000 1160 1450 1600 1856 2000 2320 2900 3625 4000 4640 5800 7250 8000 9280 11600 14500 23200 29000 46400 58000 116000 232000