8222440000 has 280 divisors, whose sum is σ = 22217888000. Its totient is φ = 3006720000.

The previous prime is 8222439991. The next prime is 8222440003. The reversal of 8222440000 is 442228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8222440003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23559826 + ... + 23560174.

It is an arithmetic number, because the mean of its divisors is an integer number (79349600).

Almost surely, 2^8222440000 is an apocalyptic number.

8222440000 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 8222440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108944000).

8222440000 is an abundant number, since it is smaller than the sum of its proper divisors (13995448000).

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

8222440000 is a wasteful number, since it uses less digits than its factorization.

8222440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 8222440000 is about 90677.6709008342. The cubic root of 8222440000 is about 2018.3674683433.

Adding to 8222440000 its reverse (442228), we get a palindrome (8222882228).

The spelling of 8222440000 in words is "eight billion, two hundred twenty-two million, four hundred forty thousand".