218450220 has 96 divisors (see below), whose sum is σ = 661382400. Its totient is φ = 53685504.

The previous prime is 218450209. The next prime is 218450261. The reversal of 218450220 is 22054812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39591 + ... + 44769.

It is an arithmetic number, because the mean of its divisors is an integer number (6889400).

Almost surely, 2^218450220 is an apocalyptic number.

218450220 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 218450220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330691200).

218450220 is an abundant number, since it is smaller than the sum of its proper divisors (442932180).

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

218450220 is a wasteful number, since it uses less digits than its factorization.

218450220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 218450220 is about 14780.0615695605. The cubic root of 218450220 is about 602.2601973777.

The spelling of 218450220 in words is "two hundred eighteen million, four hundred fifty thousand, two hundred twenty".