233680000 has 160 divisors (see below), whose sum is σ = 611804160. Its totient is φ = 88704000.

The previous prime is 233679997. The next prime is 233680039. The reversal of 233680000 is 86332.

233680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1839937 + ... + 1840063.

It is an arithmetic number, because the mean of its divisors is an integer number (3823776).

Almost surely, 2^233680000 is an apocalyptic number.

233680000 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 233680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305902080).

233680000 is an abundant number, since it is smaller than the sum of its proper divisors (378124160).

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

233680000 is an equidigital number, since it uses as much as digits as its factorization.

233680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 233680000 is about 15286.5954352171. The cubic root of 233680000 is about 615.9429867962.

It can be divided in two parts, 23 and 3680000, that multiplied together give a square (84640000 = 9200²).

The spelling of 233680000 in words is "two hundred thirty-three million, six hundred eighty thousand".