220998180 has 96 divisors (see below), whose sum is σ = 669360384. Its totient is φ = 54157824.

The previous prime is 220998157. The next prime is 220998187. The reversal of 220998180 is 81899022.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (220998187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228057 + ... + 229023.

It is an arithmetic number, because the mean of its divisors is an integer number (6972504).

Almost surely, 2^220998180 is an apocalyptic number.

220998180 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 220998180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334680192).

220998180 is an abundant number, since it is smaller than the sum of its proper divisors (448362204).

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

220998180 is a wasteful number, since it uses less digits than its factorization.

220998180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 220998180 is about 14866.0075339682. The cubic root of 220998180 is about 604.5926999259.

The spelling of 220998180 in words is "two hundred twenty million, nine hundred ninety-eight thousand, one hundred eighty".