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232300 = 225223101
BaseRepresentation
bin111000101101101100
3102210122201
4320231230
524413200
64551244
71655155
oct705554
9383581
10232300
11149592
12b2524
1381973
146092c
1548c6a
hex38b6c

232300 has 36 divisors (see below), whose sum is σ = 531216. Its totient is φ = 88000.

The previous prime is 232259. The next prime is 232303. The reversal of 232300 is 3232.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (232303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2250 + ... + 2350.

It is an arithmetic number, because the mean of its divisors is an integer number (14756).

2232300 is an apocalyptic number.

232300 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 232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265608).

232300 is an abundant number, since it is smaller than the sum of its proper divisors (298916).

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

232300 is a wasteful number, since it uses less digits than its factorization.

232300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

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

The square root of 232300 is about 481.9751030914. The cubic root of 232300 is about 61.4728105956.

Adding to 232300 its reverse (3232), we get a palindrome (235532).

It can be divided in two parts, 23 and 2300, that multiplied together give a square (52900 = 2302).

The spelling of 232300 in words is "two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 101 115 202 230 404 460 505 575 1010 1150 2020 2300 2323 2525 4646 5050 9292 10100 11615 23230 46460 58075 116150 232300