221084448 has 72 divisors (see below), whose sum is σ = 628468848. Its totient is φ = 68020992.

The previous prime is 221084447. The next prime is 221084449. The reversal of 221084448 is 844480122.

221084448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221084447) and next prime (221084449).

It is not an unprimeable number, because it can be changed into a prime (221084443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9411 + ... + 23037.

It is an arithmetic number, because the mean of its divisors is an integer number (8728734).

Almost surely, 2^221084448 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 221084448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314234424).

221084448 is an abundant number, since it is smaller than the sum of its proper divisors (407384400).

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

221084448 is a wasteful number, since it uses less digits than its factorization.

221084448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666 (or 13645 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 221084448 is about 14868.9087696441. The cubic root of 221084448 is about 604.6713585192.

The spelling of 221084448 in words is "two hundred twenty-one million, eighty-four thousand, four hundred forty-eight".