232103200 has 216 divisors, whose sum is σ = 683956224. Its totient is φ = 76608000.

The previous prime is 232103197. The next prime is 232103219. The reversal of 232103200 is 2301232.

It is a happy number.

232103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1215105 + ... + 1215295.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2^232103200 is an apocalyptic number.

232103200 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 232103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341978112).

232103200 is an abundant number, since it is smaller than the sum of its proper divisors (451853024).

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

232103200 is a wasteful number, since it uses less digits than its factorization.

232103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 232103200 is about 15234.9335410431. The cubic root of 232103200 is about 614.5544617163.

Adding to 232103200 its reverse (2301232), we get a palindrome (234404432).

The spelling of 232103200 in words is "two hundred thirty-two million, one hundred three thousand, two hundred".