234525200 has 240 divisors, whose sum is σ = 736202880. Its totient is φ = 69672960.

The previous prime is 234525191. The next prime is 234525223. The reversal of 234525200 is 2525432.

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 47 ways as a sum of consecutive naturals, for example, 618611 + ... + 618989.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2^234525200 is an apocalyptic number.

234525200 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 234525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368101440).

234525200 is an abundant number, since it is smaller than the sum of its proper divisors (501677680).

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

234525200 is a wasteful number, since it uses less digits than its factorization.

234525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 234525200 is about 15314.2156181765. The cubic root of 234525200 is about 616.6846971435.

The spelling of 234525200 in words is "two hundred thirty-four million, five hundred twenty-five thousand, two hundred".