232200 has 96 divisors (see below), whose sum is σ = 818400. Its totient is φ = 60480.

The previous prime is 232189. The next prime is 232207. The reversal of 232200 is 2232.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (232207) by changing a digit.

232200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5379 + ... + 5421.

It is an arithmetic number, because the mean of its divisors is an integer number (8525).

2²³²²⁰⁰ is an apocalyptic number.

232200 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 232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409200).

232200 is an abundant number, since it is smaller than the sum of its proper divisors (586200).

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

232200 is a wasteful number, since it uses less digits than its factorization.

232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 232200 is about 481.8713521263. The cubic root of 232200 is about 61.4639884355.

Adding to 232200 its reverse (2232), we get a palindrome (234432).

The spelling of 232200 in words is "two hundred thirty-two thousand, two hundred".