233000800 has 72 divisors (see below), whose sum is σ = 598789800. Its totient is φ = 88289280.

The previous prime is 233000753. The next prime is 233000809. The reversal of 233000800 is 8000332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233000809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7536 + ... + 22864.

It is an arithmetic number, because the mean of its divisors is an integer number (8316525).

Almost surely, 2^233000800 is an apocalyptic number.

233000800 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 233000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299394900).

233000800 is an abundant number, since it is smaller than the sum of its proper divisors (365789000).

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

233000800 is a wasteful number, since it uses less digits than its factorization.

233000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15368 (or 15355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 233000800 is about 15264.3637273225. The cubic root of 233000800 is about 615.3456536230.

The spelling of 233000800 in words is "two hundred thirty-three million, eight hundred", and thus it is an aban number.