220211328 has 128 divisors (see below), whose sum is σ = 610727040. Its totient is φ = 70246400.

The previous prime is 220211323. The next prime is 220211339. The reversal of 220211328 is 823112022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (220211323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117726 + ... + 1117922.

It is an arithmetic number, because the mean of its divisors is an integer number (4771305).

Almost surely, 2^220211328 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 220211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305363520).

220211328 is an abundant number, since it is smaller than the sum of its proper divisors (390515712).

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

220211328 is a wasteful number, since it uses less digits than its factorization.

220211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 220211328 is about 14839.5191296753. The cubic root of 220211328 is about 603.8743068420.

It can be divided in two parts, 2202 and 11328, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 220211328 in words is "two hundred twenty million, two hundred eleven thousand, three hundred twenty-eight".