234433775200 has 72 divisors (see below), whose sum is σ = 572658847488. Its totient is φ = 93716590080.

The previous prime is 234433775197. The next prime is 234433775243. The reversal of 234433775200 is 2577334432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1242294 + ... + 1418506.

It is an arithmetic number, because the mean of its divisors is an integer number (7953595104).

Almost surely, 2^234433775200 is an apocalyptic number.

234433775200 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 234433775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286329423744).

234433775200 is an abundant number, since it is smaller than the sum of its proper divisors (338225072288).

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

234433775200 is a wasteful number, since it uses less digits than its factorization.

234433775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177896 (or 177883 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 40.

The spelling of 234433775200 in words is "two hundred thirty-four billion, four hundred thirty-three million, seven hundred seventy-five thousand, two hundred".