213252840 has 48 divisors (see below), whose sum is σ = 693072900. Its totient is φ = 56867328.

The previous prime is 213252839. The next prime is 213252857. The reversal of 213252840 is 48252312.

213252840 is a `hidden beast` number, since 2 + 132 + 528 + 4 + 0 = 666.

213252840 is digitally balanced in base 3, 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 208918116 + 4334724 = 14454^2 + 2082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295825 + ... + 296544.

Almost surely, 2^213252840 is an apocalyptic number.

213252840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213252840 is an abundant number, since it is smaller than the sum of its proper divisors (479820060).

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

213252840 is a wasteful number, since it uses less digits than its factorization.

213252840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592386 (or 592379 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 213252840 is about 14603.1791059344. The cubic root of 213252840 is about 597.4454727526.

The spelling of 213252840 in words is "two hundred thirteen million, two hundred fifty-two thousand, eight hundred forty".