213262240 has 48 divisors (see below), whose sum is σ = 504713160. Its totient is φ = 85155840.

The previous prime is 213262177. The next prime is 213262253. The reversal of 213262240 is 42262312.

213262240 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 4 ways, for example, as 193655056 + 19607184 = 13916^2 + 4428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160780 + ... + 162100.

Almost surely, 2^213262240 is an apocalyptic number.

213262240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213262240 is an abundant number, since it is smaller than the sum of its proper divisors (291450920).

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

213262240 is a wasteful number, since it uses less digits than its factorization.

213262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 213262240 is about 14603.5009501147. The cubic root of 213262240 is about 597.4542509162.

The spelling of 213262240 in words is "two hundred thirteen million, two hundred sixty-two thousand, two hundred forty".