218841090 has 128 divisors (see below), whose sum is σ = 610025472. Its totient is φ = 49800960.

The previous prime is 218841041. The next prime is 218841101. The reversal of 218841090 is 90148812.

218841090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277677 + ... + 278463.

It is an arithmetic number, because the mean of its divisors is an integer number (4765824).

Almost surely, 2^218841090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218841090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305012736).

218841090 is an abundant number, since it is smaller than the sum of its proper divisors (391184382).

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

218841090 is a wasteful number, since it uses less digits than its factorization.

218841090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864.

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 218841090 is about 14793.2785412835. The cubic root of 218841090 is about 602.6191886697.

The spelling of 218841090 in words is "two hundred eighteen million, eight hundred forty-one thousand, ninety".