234196800 has 168 divisors, whose sum is σ = 777825216. Its totient is φ = 61685760.

The previous prime is 234196789. The next prime is 234196813. The reversal of 234196800 is 8691432.

It is a super-2 number, since 2×234196800² = 109696282260480000, which contains 22 as substring.

It is a congruent number.

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, 465349 + ... + 465851.

It is an arithmetic number, because the mean of its divisors is an integer number (4629912).

Almost surely, 2^234196800 is an apocalyptic number.

234196800 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 234196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388912608).

234196800 is an abundant number, since it is smaller than the sum of its proper divisors (543628416).

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

234196800 is a wasteful number, since it uses less digits than its factorization.

234196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 234196800 is about 15303.4897980820. The cubic root of 234196800 is about 616.3967197665.

The spelling of 234196800 in words is "two hundred thirty-four million, one hundred ninety-six thousand, eight hundred".