220332034404 has 108 divisors (see below), whose sum is σ = 572623555140. Its totient is φ = 71424460800.

The previous prime is 220332034393. The next prime is 220332034423. The reversal of 220332034404 is 404430233022.

220332034404 is a `hidden beast` number, since 2 + 20 + 33 + 203 + 4 + 404 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 49764686400 + 170567348004 = 223080^2 + 412998^2 .

It is a super-3 number, since 3×220332034404³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11912844 + ... + 11931324.

It is an arithmetic number, because the mean of its divisors is an integer number (5302069955).

Almost surely, 2^220332034404 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 220332034404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286311777570).

220332034404 is an abundant number, since it is smaller than the sum of its proper divisors (352291520736).

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

220332034404 is a wasteful number, since it uses less digits than its factorization.

220332034404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18702 (or 18636 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 220332034404 its reverse (404430233022), we get a palindrome (624762267426).

The spelling of 220332034404 in words is "two hundred twenty billion, three hundred thirty-two million, thirty-four thousand, four hundred four".