220181688 has 96 divisors (see below), whose sum is σ = 653281200. Its totient is φ = 66683904.

The previous prime is 220181681. The next prime is 220181701. The reversal of 220181688 is 886181022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220181681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32395 + ... + 38597.

Almost surely, 2^220181688 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 220181688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326640600).

220181688 is an abundant number, since it is smaller than the sum of its proper divisors (433099512).

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

220181688 is a wasteful number, since it uses less digits than its factorization.

220181688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 220181688 is about 14838.5204114157. The cubic root of 220181688 is about 603.8472122056.

The spelling of 220181688 in words is "two hundred twenty million, one hundred eighty-one thousand, six hundred eighty-eight".