221122304 has 108 divisors (see below), whose sum is σ = 504970200. Its totient is φ = 96325632.

The previous prime is 221122301. The next prime is 221122309. The reversal of 221122304 is 403221122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221122301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821882 + ... + 822150.

It is an arithmetic number, because the mean of its divisors is an integer number (4675650).

Almost surely, 2^221122304 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 221122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252485100).

221122304 is an abundant number, since it is smaller than the sum of its proper divisors (283847896).

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

221122304 is a wasteful number, since it uses less digits than its factorization.

221122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 221122304 is about 14870.1817070270. The cubic root of 221122304 is about 604.7058689108.

Adding to 221122304 its reverse (403221122), we get a palindrome (624343426).

The spelling of 221122304 in words is "two hundred twenty-one million, one hundred twenty-two thousand, three hundred four".