213330220 has 48 divisors (see below), whose sum is σ = 465244416. Its totient is φ = 82080000.

The previous prime is 213330209. The next prime is 213330239. The reversal of 213330220 is 22033312.

213330220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213330194 and 213330203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111270 + ... + 113170.

It is an arithmetic number, because the mean of its divisors is an integer number (9692592).

Almost surely, 2^213330220 is an apocalyptic number.

213330220 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 213330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232622208).

213330220 is an abundant number, since it is smaller than the sum of its proper divisors (251914196).

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

213330220 is a wasteful number, since it uses less digits than its factorization.

213330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 213330220 is about 14605.8282887346. The cubic root of 213330220 is about 597.5177261712.

Adding to 213330220 its reverse (22033312), we get a palindrome (235363532).

The spelling of 213330220 in words is "two hundred thirteen million, three hundred thirty thousand, two hundred twenty".