8228 has 18 divisors (see below), whose sum is σ = 16758. Its totient is φ = 3520.

The previous prime is 8221. The next prime is 8231.

8228 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 484 = 88^2 + 22^2 .

It is a d-powerful number, because it can be written as **8**^{4} + **2**^{2} + **2**^{5} + **8**^{4} .

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (8221) by changing a digit.

8228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 476 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (931).

It is an amenable number.

8228 is an abundant number, since it is smaller than the sum of its proper divisors (8530).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379).

8228 is a wasteful number, since it uses less digits than its factorization.

8228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 30 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 8228 is about 90.7083237636. The cubic root of 8228 is about 20.1882230473.

The spelling of 8228 in words is "eight thousand, two hundred twenty-eight".

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