8022442208 has 48 divisors (see below), whose sum is σ = 17258863104. Its totient is φ = 3640460160.

The previous prime is 8022442199. The next prime is 8022442217.

It is a happy number.

8022442208 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8022442199) and next prime (8022442217).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194891 + ... + 232437.

It is an arithmetic number, because the mean of its divisors is an integer number (359559648).

Almost surely, 2^8022442208 is an apocalyptic number.

8022442208 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 8022442208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629431552).

8022442208 is an abundant number, since it is smaller than the sum of its proper divisors (9236420896).

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

8022442208 is a wasteful number, since it uses less digits than its factorization.

8022442208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38175 (or 38167 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8022442208 is about 89568.0869953132. The cubic root of 8022442208 is about 2001.8684379263.

The spelling of 8022442208 in words is "eight billion, twenty-two million, four hundred forty-two thousand, two hundred eight".