221541180 has 96 divisors (see below), whose sum is σ = 710954496. Its totient is φ = 50493696.

The previous prime is 221541143. The next prime is 221541181. The reversal of 221541180 is 81145122.

221541180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221541180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221541181) 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, 233467 + ... + 234413.

It is an arithmetic number, because the mean of its divisors is an integer number (7405776).

Almost surely, 2^221541180 is an apocalyptic number.

221541180 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 221541180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355477248).

221541180 is an abundant number, since it is smaller than the sum of its proper divisors (489413316).

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

221541180 is a wasteful number, since it uses less digits than its factorization.

221541180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 221541180 is about 14884.2594709982. The cubic root of 221541180 is about 605.0874631650.

The spelling of 221541180 in words is "two hundred twenty-one million, five hundred forty-one thousand, one hundred eighty".