220310016 has 80 divisors (see below), whose sum is σ = 617892000. Its totient is φ = 69562368.

The previous prime is 220309993. The next prime is 220310023. The reversal of 220310016 is 610013022.

220310016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×220310016³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220309977 and 220310004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25410 + ... + 32958.

It is an arithmetic number, because the mean of its divisors is an integer number (7723650).

Almost surely, 2^220310016 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 220310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308946000).

220310016 is an abundant number, since it is smaller than the sum of its proper divisors (397581984).

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

220310016 is an equidigital number, since it uses as much as digits as its factorization.

220310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 220310016 is about 14842.8439323467. The cubic root of 220310016 is about 603.9645023946.

Adding to 220310016 its reverse (610013022), we get a palindrome (830323038).

The spelling of 220310016 in words is "two hundred twenty million, three hundred ten thousand, sixteen".