220442688 has 224 divisors, whose sum is σ = 691286400. Its totient is φ = 68769792.

The previous prime is 220442687. The next prime is 220442711. The reversal of 220442688 is 886244022.

It is a happy number.

220442688 is a `hidden beast` number, since 220 + 4 + 426 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220442687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655895 + ... + 2655977.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2^220442688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345643200).

220442688 is an abundant number, since it is smaller than the sum of its proper divisors (470843712).

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

220442688 is a wasteful number, since it uses less digits than its factorization.

220442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

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

The square root of 220442688 is about 14847.3124840828. The cubic root of 220442688 is about 604.0857150696.

The spelling of 220442688 in words is "two hundred twenty million, four hundred forty-two thousand, six hundred eighty-eight".