8002222008 has 128 divisors (see below), whose sum is σ = 22842777600. Its totient is φ = 2312393600.

The previous prime is 8002222003. The next prime is 8002222009.

8002222008 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002222003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2178013 + ... + 2181683.

It is an arithmetic number, because the mean of its divisors is an integer number (178459200).

Almost surely, 2^8002222008 is an apocalyptic number.

8002222008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8002222008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11421388800).

8002222008 is an abundant number, since it is smaller than the sum of its proper divisors (14840555592).

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

8002222008 is a wasteful number, since it uses less digits than its factorization.

8002222008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8002222008 is about 89455.1396399335. The cubic root of 8002222008 is about 2000.1851501925.

The spelling of 8002222008 in words is "eight billion, two million, two hundred twenty-two thousand, eight".