221829180 has 96 divisors (see below), whose sum is σ = 675010560. Its totient is φ = 54224640.

The previous prime is 221829169. The next prime is 221829187. The reversal of 221829180 is 81928122.

221829180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221829187) 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, 32202 + ... + 38478.

It is an arithmetic number, because the mean of its divisors is an integer number (7031360).

Almost surely, 2^221829180 is an apocalyptic number.

221829180 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 221829180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337505280).

221829180 is an abundant number, since it is smaller than the sum of its proper divisors (453181380).

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

221829180 is a wasteful number, since it uses less digits than its factorization.

221829180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 221829180 is about 14893.9309787578. The cubic root of 221829180 is about 605.3495509778.

The spelling of 221829180 in words is "two hundred twenty-one million, eight hundred twenty-nine thousand, one hundred eighty".