8222190720 has 256 divisors, whose sum is σ = 27726537600. Its totient is φ = 2066743296.

The previous prime is 8222190703. The next prime is 8222190749. The reversal of 8222190720 is 270912228.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9374922 + ... + 9375798.

Almost surely, 2^8222190720 is an apocalyptic number.

8222190720 is a gapful number since it is divisible by the number (80) 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 8222190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13863268800).

8222190720 is an abundant number, since it is smaller than the sum of its proper divisors (19504346880).

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

8222190720 is a wasteful number, since it uses less digits than its factorization.

8222190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 8222190720 is about 90676.2963513619. The cubic root of 8222190720 is about 2018.3470711649.

The spelling of 8222190720 in words is "eight billion, two hundred twenty-two million, one hundred ninety thousand, seven hundred twenty".