213845220 has 36 divisors (see below), whose sum is σ = 648664380. Its totient is φ = 57025344.

The previous prime is 213845207. The next prime is 213845243. The reversal of 213845220 is 22548312.

213845220 is a `hidden beast` number, since 2 + 138 + 4 + 522 + 0 = 666.

213845220 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 32080896 + 181764324 = 5664^2 + 13482^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 593835 + ... + 594194.

It is an arithmetic number, because the mean of its divisors is an integer number (18018455).

Almost surely, 2^213845220 is an apocalyptic number.

213845220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213845220 is an abundant number, since it is smaller than the sum of its proper divisors (434819160).

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

213845220 is a wasteful number, since it uses less digits than its factorization.

213845220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188044 (or 1188039 counting only the distinct ones).

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

The square root of 213845220 is about 14623.4476099174. The cubic root of 213845220 is about 597.9981618344.

The spelling of 213845220 in words is "two hundred thirteen million, eight hundred forty-five thousand, two hundred twenty".