8220225168 has 160 divisors (see below), whose sum is σ = 23947217280. Its totient is φ = 2699481600.

The previous prime is 8220225163. The next prime is 8220225173. The reversal of 8220225168 is 8615220228.

It is an interprime number because it is at equal distance from previous prime (8220225163) and next prime (8220225173).

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

It is not an unprimeable number, because it can be changed into a prime (8220225163) 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 31 ways as a sum of consecutive naturals, for example, 12783855 + ... + 12784497.

It is an arithmetic number, because the mean of its divisors is an integer number (149670108).

Almost surely, 2^8220225168 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 8220225168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973608640).

8220225168 is an abundant number, since it is smaller than the sum of its proper divisors (15726992112).

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

8220225168 is a wasteful number, since it uses less digits than its factorization.

8220225168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8220225168 is about 90665.4574135045. The cubic root of 8220225168 is about 2018.1862266721.

The spelling of 8220225168 in words is "eight billion, two hundred twenty million, two hundred twenty-five thousand, one hundred sixty-eight".