226116417289 has 9 divisors (see below), whose sum is σ = 263037255501. Its totient is φ = 193811218860.

The previous prime is 226116417283. The next prime is 226116417299. The reversal of 226116417289 is 982714611622.

The square root of 226116417289 is 475517.

It is a perfect power (a square), and thus also a powerful number.

226116417289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 226116417289 - 2¹⁹ = 226115893001 is a prime.

It is a super-2 number, since 2×226116417289² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226116417283) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3294654 + ... + 3362584.

Almost surely, 2^226116417289 is an apocalyptic number.

226116417289 is the 475517-th square number.

226116417289 is the 237759-th centered octagonal number.

It is an amenable number.

226116417289 is a deficient number, since it is larger than the sum of its proper divisors (36920838212).

226116417289 is an frugal number, since it uses more digits than its factorization.

226116417289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135876 (or 67938 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

Multiplying 226116417289 by its sum of digits (49), we get a square (11079704447161 = 3328619²).

226116417289 divided by its sum of digits (49) gives a square (4614620761 = 67931²).

The spelling of 226116417289 in words is "two hundred twenty-six billion, one hundred sixteen million, four hundred seventeen thousand, two hundred eighty-nine".