221046882 has 48 divisors (see below), whose sum is σ = 528225600. Its totient is φ = 60404256.

The previous prime is 221046853. The next prime is 221046899. The reversal of 221046882 is 288640122.

It is a happy number.

221046882 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17244 + ... + 27192.

It is an arithmetic number, because the mean of its divisors is an integer number (11004700).

Almost surely, 2^221046882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221046882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264112800).

221046882 is an abundant number, since it is smaller than the sum of its proper divisors (307178718).

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

221046882 is a wasteful number, since it uses less digits than its factorization.

221046882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 221046882 is about 14867.6454759992. The cubic root of 221046882 is about 604.6371086038.

The spelling of 221046882 in words is "two hundred twenty-one million, forty-six thousand, eight hundred eighty-two".