220312220 has 96 divisors (see below), whose sum is σ = 507091200. Its totient is φ = 80123904.

The previous prime is 220312187. The next prime is 220312237. The reversal of 220312220 is 22213022.

It is a junction number, because it is equal to n+sod(n) for n = 220312195 and 220312204.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1584911 + ... + 1585049.

It is an arithmetic number, because the mean of its divisors is an integer number (5282200).

Almost surely, 2^220312220 is an apocalyptic number.

220312220 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 220312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253545600).

220312220 is an abundant number, since it is smaller than the sum of its proper divisors (286778980).

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

220312220 is a wasteful number, since it uses less digits than its factorization.

220312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220312220 is about 14842.9181766929. The cubic root of 220312220 is about 603.9665164252.

Adding to 220312220 its reverse (22213022), we get a palindrome (242525242).

The spelling of 220312220 in words is "two hundred twenty million, three hundred twelve thousand, two hundred twenty".