226817289288 has 180 divisors, whose sum is σ = 649350860235. Its totient is φ = 73969099776.

The previous prime is 226817289263. The next prime is 226817289319. The reversal of 226817289288 is 882982718622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

226817289288 is a `hidden beast` number, since 2 + 2 + 68 + 17 + 289 + 288 = 666.

226817289288 is digitally balanced in base 2, 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 5 ways, for example, as 143551569924 + 83265719364 = 378882^2 + 288558^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336762.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 642541720 + ... + 642542072.

Almost surely, 2^226817289288 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 226817289288

226817289288 is an abundant number, since it is smaller than the sum of its proper divisors (422533570947).

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

226817289288 is an frugal number, since it uses more digits than its factorization.

226817289288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 411 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 226817289288 in words is "two hundred twenty-six billion, eight hundred seventeen million, two hundred eighty-nine thousand, two hundred eighty-eight".