8222256 has 80 divisors (see below), whose sum is σ = 26982400. Its totient is φ = 2348352.

The previous prime is 8222243. The next prime is 8222257. The reversal of 8222256 is 6522228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8222257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665 + ... + 4383.

It is an arithmetic number, because the mean of its divisors is an integer number (337280).

Almost surely, 2^8222256 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 8222256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491200).

8222256 is an abundant number, since it is smaller than the sum of its proper divisors (18760144).

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

8222256 is a wasteful number, since it uses less digits than its factorization.

8222256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2731 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 8222256 is about 2867.4476455552. The cubic root of 8222256 is about 201.8352412699.

The spelling of 8222256 in words is "eight million, two hundred twenty-two thousand, two hundred fifty-six".