218842290 has 64 divisors (see below), whose sum is σ = 586656000. Its totient is φ = 58050432.

The previous prime is 218842279. The next prime is 218842313. The reversal of 218842290 is 92248812.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51694 + ... + 55766.

It is an arithmetic number, because the mean of its divisors is an integer number (9166500).

Almost surely, 2^218842290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218842290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293328000).

218842290 is an abundant number, since it is smaller than the sum of its proper divisors (367813710).

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

218842290 is a wasteful number, since it uses less digits than its factorization.

218842290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 218842290 is about 14793.3191001884. The cubic root of 218842290 is about 602.6202901412.

The spelling of 218842290 in words is "two hundred eighteen million, eight hundred forty-two thousand, two hundred ninety".