234855200 has 72 divisors (see below), whose sum is σ = 603555120. Its totient is φ = 88992000.

The previous prime is 234855161. The next prime is 234855209. The reversal of 234855200 is 2558432.

It is not an unprimeable number, because it can be changed into a prime (234855209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7475 + ... + 22925.

It is an arithmetic number, because the mean of its divisors is an integer number (8382710).

Almost surely, 2^234855200 is an apocalyptic number.

234855200 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 234855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301777560).

234855200 is an abundant number, since it is smaller than the sum of its proper divisors (368699920).

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

234855200 is a wasteful number, since it uses less digits than its factorization.

234855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15490 (or 15477 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 234855200 is about 15324.9861337621. The cubic root of 234855200 is about 616.9738069046.

The spelling of 234855200 in words is "two hundred thirty-four million, eight hundred fifty-five thousand, two hundred".