233400000 has 168 divisors, whose sum is σ = 773856720. Its totient is φ = 62080000.

The previous prime is 233399989. The next prime is 233400017. The reversal of 233400000 is 4332.

233400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 599806 + ... + 600194.

It is an arithmetic number, because the mean of its divisors is an integer number (4606290).

Almost surely, 2^233400000 is an apocalyptic number.

233400000 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 233400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386928360).

233400000 is an abundant number, since it is smaller than the sum of its proper divisors (540456720).

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

233400000 is an frugal number, since it uses more digits than its factorization.

233400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 233400000 is about 15277.4343395742. The cubic root of 233400000 is about 615.6968767804.

Adding to 233400000 its reverse (4332), we get a palindrome (233404332).

The spelling of 233400000 in words is "two hundred thirty-three million, four hundred thousand".