220228320 has 192 divisors, whose sum is σ = 773478720. Its totient is φ = 52297728.

The previous prime is 220228313. The next prime is 220228321. The reversal of 220228320 is 23822022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220228321) 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 31 ways as a sum of consecutive naturals, for example, 180352 + ... + 181568.

It is an arithmetic number, because the mean of its divisors is an integer number (4028535).

Almost surely, 2^220228320 is an apocalyptic number.

220228320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386739360).

220228320 is an abundant number, since it is smaller than the sum of its proper divisors (553250400).

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

220228320 is a wasteful number, since it uses less digits than its factorization.

220228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 220228320 is about 14840.0916439219. The cubic root of 220228320 is about 603.8898385412.

The spelling of 220228320 in words is "two hundred twenty million, two hundred twenty-eight thousand, three hundred twenty".