221885180 has 48 divisors (see below), whose sum is σ = 512265600. Its totient is φ = 80059200.

The previous prime is 221885161. The next prime is 221885219. The reversal of 221885180 is 81588122.

It is a self number, because there is not a number n which added to its sum of digits gives 221885180.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24971 + ... + 32669.

It is an arithmetic number, because the mean of its divisors is an integer number (10672200).

Almost surely, 2^221885180 is an apocalyptic number.

221885180 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 221885180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256132800).

221885180 is an abundant number, since it is smaller than the sum of its proper divisors (290380420).

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

221885180 is a wasteful number, since it uses less digits than its factorization.

221885180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 221885180 is about 14895.8108204958. The cubic root of 221885180 is about 605.4004861503.

The spelling of 221885180 in words is "two hundred twenty-one million, eight hundred eighty-five thousand, one hundred eighty".