226288208322 has 54 divisors (see below), whose sum is σ = 538967906841. Its totient is φ = 68565456960.

The previous prime is 226288208317. The next prime is 226288208329. The reversal of 226288208322 is 223802882622.

226288208322 is a `hidden beast` number, since 2 + 26 + 288 + 20 + 8 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215185582161 + 11102626161 = 463881^2 + 105369^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336369.

It is not an unprimeable number, because it can be changed into a prime (226288208329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22195258 + ... + 22205450.

Almost surely, 2^226288208322 is an apocalyptic number.

226288208322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

226288208322 is an abundant number, since it is smaller than the sum of its proper divisors (312679698519).

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

226288208322 is an equidigital number, since it uses as much as digits as its factorization.

226288208322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20416 (or 10209 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 226288208322 in words is "two hundred twenty-six billion, two hundred eighty-eight million, two hundred eight thousand, three hundred twenty-two".