220765180 has 48 divisors (see below), whose sum is σ = 489646080. Its totient is φ = 83377728.

The previous prime is 220765177. The next prime is 220765183. The reversal of 220765180 is 81567022.

It is an interprime number because it is at equal distance from previous prime (220765177) and next prime (220765183).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220765183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138669 + ... + 140251.

It is an arithmetic number, because the mean of its divisors is an integer number (10200960).

Almost surely, 2^220765180 is an apocalyptic number.

220765180 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 220765180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244823040).

220765180 is an abundant number, since it is smaller than the sum of its proper divisors (268880900).

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

220765180 is a wasteful number, since it uses less digits than its factorization.

220765180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 220765180 is about 14858.1687969951. The cubic root of 220765180 is about 604.3801497066.

The spelling of 220765180 in words is "two hundred twenty million, seven hundred sixty-five thousand, one hundred eighty".