8226216 has 48 divisors (see below), whose sum is σ = 22656660. Its totient is φ = 2695680.

The previous prime is 8226209. The next prime is 8226271. The reversal of 8226216 is 6126228.

It can be written as a sum of positive squares in 2 ways, for example, as 5503716 + 2722500 = 2346^2 + 1650^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8226216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3456 + ... + 5328.

Almost surely, 2^8226216 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 8226216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328330).

8226216 is an abundant number, since it is smaller than the sum of its proper divisors (14430444).

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

8226216 is a wasteful number, since it uses less digits than its factorization.

8226216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1939 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8226216 is about 2868.1380719903. The cubic root of 8226216 is about 201.8676386750.

The spelling of 8226216 in words is "eight million, two hundred twenty-six thousand, two hundred sixteen".