213982208 has 88 divisors (see below), whose sum is σ = 473495664. Its totient is φ = 96645120.

The previous prime is 213982189. The next prime is 213982229. The reversal of 213982208 is 802289312.

It is a tau number, because it is divible by the number of its divisors (88).

It is a nialpdrome in base 11.

It is a congruent number.

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, 1362866 + ... + 1363022.

Almost surely, 2^213982208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236747832).

213982208 is an abundant number, since it is smaller than the sum of its proper divisors (259513456).

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

213982208 is an equidigital number, since it uses as much as digits as its factorization.

213982208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 213982208 is about 14628.1307076468. The cubic root of 213982208 is about 598.1258259556.

The spelling of 213982208 in words is "two hundred thirteen million, nine hundred eighty-two thousand, two hundred eight".