233221280 has 24 divisors (see below), whose sum is σ = 550985652. Its totient is φ = 93288448.

The previous prime is 233221279. The next prime is 233221319. The reversal of 233221280 is 82122332.

233221280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 213043216 + 20178064 = 14596^2 + 4492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 728657 + ... + 728976.

Almost surely, 2^233221280 is an apocalyptic number.

233221280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233221280 is an abundant number, since it is smaller than the sum of its proper divisors (317764372).

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

233221280 is a wasteful number, since it uses less digits than its factorization.

233221280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457648 (or 1457640 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 233221280 is about 15271.5840697683. The cubic root of 233221280 is about 615.5396853439.

The spelling of 233221280 in words is "two hundred thirty-three million, two hundred twenty-one thousand, two hundred eighty".