221322330 has 96 divisors (see below), whose sum is σ = 620006400. Its totient is φ = 54616320.

The previous prime is 221322323. The next prime is 221322347. The reversal of 221322330 is 33223122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 62446 + ... + 65894.

It is an arithmetic number, because the mean of its divisors is an integer number (6458400).

Almost surely, 2^221322330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310003200).

221322330 is an abundant number, since it is smaller than the sum of its proper divisors (398684070).

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

221322330 is a wasteful number, since it uses less digits than its factorization.

221322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 221322330 is about 14876.9059283172. The cubic root of 221322330 is about 604.8881518072. Note that the first 3 decimals are identical.

Adding to 221322330 its reverse (33223122), we get a palindrome (254545452).

The spelling of 221322330 in words is "two hundred twenty-one million, three hundred twenty-two thousand, three hundred thirty".