218022480 has 120 divisors (see below), whose sum is σ = 788548488. Its totient is φ = 53664768.

The previous prime is 218022449. The next prime is 218022557. The reversal of 218022480 is 84220812.

218022480 is a `hidden beast` number, since 2 + 180 + 2 + 2 + 480 = 666.

218022480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6843456 + 211179024 = 2616^2 + 14532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2287 + ... + 21006.

Almost surely, 2^218022480 is an apocalyptic number.

218022480 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 218022480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394274244).

218022480 is an abundant number, since it is smaller than the sum of its proper divisors (570526008).

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

218022480 is a wasteful number, since it uses less digits than its factorization.

218022480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23325 (or 23316 counting only the distinct ones).

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

The square root of 218022480 is about 14765.5843094677. The cubic root of 218022480 is about 601.8668520812.

The spelling of 218022480 in words is "two hundred eighteen million, twenty-two thousand, four hundred eighty".