8222519520 has 192 divisors, whose sum is σ = 28822106880. Its totient is φ = 2189376000.

The previous prime is 8222519507. The next prime is 8222519521. The reversal of 8222519520 is 259152228.

8222519520 is a `hidden beast` number, since 82 + 2 + 2 + 51 + 9 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8222519521) 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, 4539415 + ... + 4541225.

It is an arithmetic number, because the mean of its divisors is an integer number (150115140).

Almost surely, 2^8222519520 is an apocalyptic number.

8222519520 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 8222519520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411053440).

8222519520 is an abundant number, since it is smaller than the sum of its proper divisors (20599587360).

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

8222519520 is a wasteful number, since it uses less digits than its factorization.

8222519520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8222519520 is about 90678.1093759679. The cubic root of 8222519520 is about 2018.3739749303.

The spelling of 8222519520 in words is "eight billion, two hundred twenty-two million, five hundred nineteen thousand, five hundred twenty".