221829056 has 56 divisors (see below), whose sum is σ = 481193856. Its totient is φ = 101007360.

The previous prime is 221829017. The next prime is 221829059. The reversal of 221829056 is 650928122.

It is a happy number.

221829056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221829056² = 98416260171702272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221829059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30440 + ... + 37016.

Almost surely, 2^221829056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240596928).

221829056 is an abundant number, since it is smaller than the sum of its proper divisors (259364800).

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

221829056 is a wasteful number, since it uses less digits than its factorization.

221829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6637 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 221829056 is about 14893.9268159878. The cubic root of 221829056 is about 605.3494381832.

The spelling of 221829056 in words is "two hundred twenty-one million, eight hundred twenty-nine thousand, fifty-six".