220228008 has 256 divisors, whose sum is σ = 754790400. Its totient is φ = 51701760.

The previous prime is 220228003. The next prime is 220228009. The reversal of 220228008 is 800822022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (220228003) 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 63 ways as a sum of consecutive naturals, for example, 2138085 + ... + 2138187.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^220228008 is an apocalyptic number.

220228008 is a gapful number since it is divisible by the number (28) 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 220228008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

220228008 is an abundant number, since it is smaller than the sum of its proper divisors (534562392).

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

220228008 is a wasteful number, since it uses less digits than its factorization.

220228008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 220228008 is about 14840.0811318537. The cubic root of 220228008 is about 603.8895533618.

The spelling of 220228008 in words is "two hundred twenty million, two hundred twenty-eight thousand, eight".