220412310 has 128 divisors (see below), whose sum is σ = 585252864. Its totient is φ = 52899840.

The previous prime is 220412261. The next prime is 220412363. The reversal of 220412310 is 13214022.

220412310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220412310² = 97163172799072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220412310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1735467 + ... + 1735593.

It is an arithmetic number, because the mean of its divisors is an integer number (4572288).

Almost surely, 2^220412310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220412310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432).

220412310 is an abundant number, since it is smaller than the sum of its proper divisors (364840554).

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

220412310 is a wasteful number, since it uses less digits than its factorization.

220412310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 220412310 is about 14846.2894354111. The cubic root of 220412310 is about 604.0579652131.

Adding to 220412310 its reverse (13214022), we get a palindrome (233626332).

The spelling of 220412310 in words is "two hundred twenty million, four hundred twelve thousand, three hundred ten".