8226006228 has 72 divisors (see below), whose sum is σ = 22745058336. Its totient is φ = 2486001600.

The previous prime is 8226006211. The next prime is 8226006233.

8226006228 is a `hidden beast` number, since 8 + 2 + 26 + 0 + 0 + 622 + 8 = 666.

8226006228 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8226006192 and 8226006201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119863 + ... + 175553.

It is an arithmetic number, because the mean of its divisors is an integer number (315903588).

Almost surely, 2^8226006228 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 8226006228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11372529168).

8226006228 is an abundant number, since it is smaller than the sum of its proper divisors (14519052108).

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

8226006228 is a wasteful number, since it uses less digits than its factorization.

8226006228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56085 (or 56080 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8226006228 is about 90697.3330809677. Note that the first 3 decimals coincide. The cubic root of 8226006228 is about 2018.6592275697.

It can be divided in two parts, 822600 and 6228, that added together give a palindrome (828828).

The spelling of 8226006228 in words is "eight billion, two hundred twenty-six million, six thousand, two hundred twenty-eight".