233320000 has 140 divisors (see below), whose sum is σ = 610991920. Its totient is φ = 88128000.

The previous prime is 233319991. The next prime is 233320007. The reversal of 233320000 is 23332.

It is not an unprimeable number, because it can be changed into a prime (233320007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 759847 + ... + 760153.

It is an arithmetic number, because the mean of its divisors is an integer number (4364228).

Almost surely, 2^233320000 is an apocalyptic number.

233320000 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 233320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305495960).

233320000 is an abundant number, since it is smaller than the sum of its proper divisors (377671920).

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

233320000 is an equidigital number, since it uses as much as digits as its factorization.

233320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 233320000 is about 15274.8158745040. The cubic root of 233320000 is about 615.6265234830.

Adding to 233320000 its reverse (23332), we get a palindrome (233343332).

Multiplying 233320000 by its reverse (23332), we get a square (5443822240000 = 2333200²).

233320000 divided by its reverse (23332) gives a 4-th power (10000 = 10⁴).

The spelling of 233320000 in words is "two hundred thirty-three million, three hundred twenty thousand".