221029984 has 72 divisors (see below), whose sum is σ = 513398088. Its totient is φ = 93381120.

The previous prime is 221029979. The next prime is 221029993. The reversal of 221029984 is 489920122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113499 + ... + 115429.

It is an arithmetic number, because the mean of its divisors is an integer number (7130529).

Almost surely, 2^221029984 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 221029984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256699044).

221029984 is an abundant number, since it is smaller than the sum of its proper divisors (292368104).

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

221029984 is a wasteful number, since it uses less digits than its factorization.

221029984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 221029984 is about 14867.0771841677. The cubic root of 221029984 is about 604.6217009851.

The spelling of 221029984 in words is "two hundred twenty-one million, twenty-nine thousand, nine hundred eighty-four".