233131200 has 168 divisors, whose sum is σ = 810140112. Its totient is φ = 58490880.

The previous prime is 233131193. The next prime is 233131237. The reversal of 233131200 is 2131332.

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 233131200.

It is an unprimeable number.

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, 80172 + ... + 83028.

Almost surely, 2^233131200 is an apocalyptic number.

233131200 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 233131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405070056).

233131200 is an abundant number, since it is smaller than the sum of its proper divisors (577008912).

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

233131200 is a wasteful number, since it uses less digits than its factorization.

233131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 233131200 is about 15268.6345165506. The cubic root of 233131200 is about 615.4604259168.

Adding to 233131200 its reverse (2131332), we get a palindrome (235262532).

The spelling of 233131200 in words is "two hundred thirty-three million, one hundred thirty-one thousand, two hundred".