220311104 has 42 divisors (see below), whose sum is σ = 473419170. Its totient is φ = 101677056.

The previous prime is 220311103. The next prime is 220311131. The reversal of 220311104 is 401113022.

220311104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2689600 + 217621504 = 1640^2 + 14752^2 .

It is not an unprimeable number, because it can be changed into a prime (220311101) 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 5 ways as a sum of consecutive naturals, for example, 632 + ... + 21000.

It is an arithmetic number, because the mean of its divisors is an integer number (11271885).

Almost surely, 2^220311104 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 220311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236709585).

220311104 is an abundant number, since it is smaller than the sum of its proper divisors (253108066).

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

220311104 is a wasteful number, since it uses less digits than its factorization.

220311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20407 (or 20384 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 220311104 is about 14842.8805829596. The cubic root of 220311104 is about 603.9654966183.

Adding to 220311104 its reverse (401113022), we get a palindrome (621424126).

The spelling of 220311104 in words is "two hundred twenty million, three hundred eleven thousand, one hundred four".