220221300321330 has 256 divisors, whose sum is σ = 672713679052800. Its totient is φ = 44812964044800.

The previous prime is 220221300321329. The next prime is 220221300321353. The reversal of 220221300321330 is 33123003122022.

It is a super-2 number, since 2×220221300321330² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 220221300321330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19931682 + ... + 28943298.

It is an arithmetic number, because the mean of its divisors is an integer number (2627787808800).

Almost surely, 2^{220221300321330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221300321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336356839526400).

220221300321330 is an abundant number, since it is smaller than the sum of its proper divisors (452492378731470).

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

220221300321330 is a wasteful number, since it uses less digits than its factorization.

220221300321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011865.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 220221300321330 its reverse (33123003122022), we get a palindrome (253344303443352).

The spelling of 220221300321330 in words is "two hundred twenty trillion, two hundred twenty-one billion, three hundred million, three hundred twenty-one thousand, three hundred thirty".