220360140 has 288 divisors, whose sum is σ = 898200576. Its totient is φ = 42232320.

The previous prime is 220360109. The next prime is 220360163. The reversal of 220360140 is 41063022.

It is a happy number.

220360140 is a `hidden beast` number, since 2 + 20 + 3 + 601 + 40 = 666.

220360140 is digitally balanced in base 2, because in such base 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179569 + ... + 180791.

It is an arithmetic number, because the mean of its divisors is an integer number (3118752).

Almost surely, 2^220360140 is an apocalyptic number.

220360140 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 220360140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449100288).

220360140 is an abundant number, since it is smaller than the sum of its proper divisors (677840436).

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

220360140 is a wasteful number, since it uses less digits than its factorization.

220360140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220360140 is about 14844.5323267525. The cubic root of 220360140 is about 604.0103027350.

The spelling of 220360140 in words is "two hundred twenty million, three hundred sixty thousand, one hundred forty".