232300323200 has 576 divisors, whose sum is σ = 670933776240. Its totient is φ = 78796800000.

The previous prime is 232300323161. The next prime is 232300323253. The reversal of 232300323200 is 2323003232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1283427110 + ... + 1283427290.

Almost surely, 2^232300323200 is an apocalyptic number.

232300323200 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 232300323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335466888120).

232300323200 is an abundant number, since it is smaller than the sum of its proper divisors (438633453040).

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

232300323200 is a wasteful number, since it uses less digits than its factorization.

232300323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 232300323200 its reverse (2323003232), we get a palindrome (234623326432).

232300323200 divided by its reverse (2323003232) gives a square (100 = 10²).

It can be divided in two parts, 23230032 and 3200, that added together give a palindrome (23233232).

The spelling of 232300323200 in words is "two hundred thirty-two billion, three hundred million, three hundred twenty-three thousand, two hundred".