220888140 has 96 divisors (see below), whose sum is σ = 714438144. Its totient is φ = 50396160.

The previous prime is 220888127. The next prime is 220888147. The reversal of 220888140 is 41888022.

220888140 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (220888147) 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, 1377 + ... + 21063.

It is an arithmetic number, because the mean of its divisors is an integer number (7442064).

Almost surely, 2^220888140 is an apocalyptic number.

220888140 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 220888140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357219072).

220888140 is an abundant number, since it is smaller than the sum of its proper divisors (493550004).

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

220888140 is a wasteful number, since it uses less digits than its factorization.

220888140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19727 (or 19725 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 220888140 is about 14862.3060121907. The cubic root of 220888140 is about 604.4923364660.

The spelling of 220888140 in words is "two hundred twenty million, eight hundred eighty-eight thousand, one hundred forty".