221066432 has 56 divisors (see below), whose sum is σ = 460857600. Its totient is φ = 105011456.

The previous prime is 221066399. The next prime is 221066441. The reversal of 221066432 is 234660122.

221066432 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263069 + ... + 263907.

It is an arithmetic number, because the mean of its divisors is an integer number (8229600).

Almost surely, 2^221066432 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 221066432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

221066432 is an abundant number, since it is smaller than the sum of its proper divisors (239791168).

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

221066432 is a wasteful number, since it uses less digits than its factorization.

221066432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 221066432 is about 14868.3029293864. The cubic root of 221066432 is about 604.6549333399.

The spelling of 221066432 in words is "two hundred twenty-one million, sixty-six thousand, four hundred thirty-two".