218480220 has 288 divisors, whose sum is σ = 827366400. Its totient is φ = 47634048.

The previous prime is 218480173. The next prime is 218480231. The reversal of 218480220 is 22084812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 608401 + ... + 608759.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^218480220 is an apocalyptic number.

218480220 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 218480220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

218480220 is an abundant number, since it is smaller than the sum of its proper divisors (608886180).

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

218480220 is a wasteful number, since it uses less digits than its factorization.

218480220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 218480220 is about 14781.0764154712. The cubic root of 218480220 is about 602.2877657925.

The spelling of 218480220 in words is "two hundred eighteen million, four hundred eighty thousand, two hundred twenty".