234295200 has 144 divisors (see below), whose sum is σ = 847445760. Its totient is φ = 62472960.

The previous prime is 234295189. The next prime is 234295223. The reversal of 234295200 is 2592432.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16177 + ... + 27023.

It is an arithmetic number, because the mean of its divisors is an integer number (5885040).

Almost surely, 2^234295200 is an apocalyptic number.

234295200 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 234295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423722880).

234295200 is an abundant number, since it is smaller than the sum of its proper divisors (613150560).

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

234295200 is a wasteful number, since it uses less digits than its factorization.

234295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10876 (or 10857 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 234295200 is about 15306.7044134262. The cubic root of 234295200 is about 616.4830359822.

The spelling of 234295200 in words is "two hundred thirty-four million, two hundred ninety-five thousand, two hundred".