220022034401 has 24 divisors (see below), whose sum is σ = 240040697400. Its totient is φ = 201571908096.

The previous prime is 220022034343. The next prime is 220022034409. The reversal of 220022034401 is 104430220022.

It can be written as a sum of positive squares in 12 ways, for example, as 189072780625 + 30949253776 = 434825^2 + 175924^2 .

It is not a de Polignac number, because 220022034401 - 2¹⁰ = 220022033377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220022034409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40614245 + ... + 40619661.

It is an arithmetic number, because the mean of its divisors is an integer number (10001695725).

Almost surely, 2^220022034401 is an apocalyptic number.

It is an amenable number.

220022034401 is a deficient number, since it is larger than the sum of its proper divisors (20018662999).

220022034401 is a wasteful number, since it uses less digits than its factorization.

220022034401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7205 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 220022034401 its reverse (104430220022), we get a palindrome (324452254423).

The spelling of 220022034401 in words is "two hundred twenty billion, twenty-two million, thirty-four thousand, four hundred one".