220634401 has 12 divisors (see below), whose sum is σ = 239997180. Its totient is φ = 202737600.

The previous prime is 220634387. The next prime is 220634413. The reversal of 220634401 is 104436022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 853776 + 219780625 = 924^2 + 14825^2 .

It is not a de Polignac number, because 220634401 - 2⁷ = 220634273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220634431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35851 + ... + 41551.

It is an arithmetic number, because the mean of its divisors is an integer number (19999765).

Almost surely, 2^220634401 is an apocalyptic number.

It is an amenable number.

220634401 is a deficient number, since it is larger than the sum of its proper divisors (19362779).

220634401 is a wasteful number, since it uses less digits than its factorization.

220634401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 220634401 is about 14853.7672325912. The cubic root of 220634401 is about 604.2607832916.

The spelling of 220634401 in words is "two hundred twenty million, six hundred thirty-four thousand, four hundred one".