220442868 has 18 divisors (see below), whose sum is σ = 557230674. Its totient is φ = 73480944.

The previous prime is 220442867. The next prime is 220442923. The reversal of 220442868 is 868244022.

It is a happy number.

220442868 is a `hidden beast` number, since 220 + 4 + 428 + 6 + 8 = 666.

220442868 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 only one way, i.e., 162103824 + 58339044 = 12732^2 + 7638^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6123413 = 220442868 / (2 + 2 + 0 + 4 + 4 + 2 + 8 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220442861) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3061671 + ... + 3061742.

Almost surely, 2^220442868 is an apocalyptic number.

It is an amenable number.

220442868 is an abundant number, since it is smaller than the sum of its proper divisors (336787806).

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

220442868 is a wasteful number, since it uses less digits than its factorization.

220442868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6123423 (or 6123418 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 220442868 is about 14847.3185457846. The cubic root of 220442868 is about 604.0858794893.

The spelling of 220442868 in words is "two hundred twenty million, four hundred forty-two thousand, eight hundred sixty-eight".