232303200 has 144 divisors (see below), whose sum is σ = 774075456. Its totient is φ = 60480000.

The previous prime is 232303163. The next prime is 232303207. The reversal of 232303200 is 2303232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232303200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232303207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102075 + ... + 104325.

It is an arithmetic number, because the mean of its divisors is an integer number (5375524).

Almost surely, 2^232303200 is an apocalyptic number.

232303200 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 232303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387037728).

232303200 is an abundant number, since it is smaller than the sum of its proper divisors (541772256).

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

232303200 is a wasteful number, since it uses less digits than its factorization.

232303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 232303200 is about 15241.4959895674. The cubic root of 232303200 is about 614.7309286294.

Adding to 232303200 its reverse (2303232), we get a palindrome (234606432).

The spelling of 232303200 in words is "two hundred thirty-two million, three hundred three thousand, two hundred".