8142222000 has 640 divisors, whose sum is σ = 31049441280. Its totient is φ = 1814400000.

The previous prime is 8142221987. The next prime is 8142222037. The reversal of 8142222000 is 2222418.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53921925 + ... + 53922075.

It is an arithmetic number, because the mean of its divisors is an integer number (48514752).

Almost surely, 2^8142222000 is an apocalyptic number.

8142222000 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 8142222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524720640).

8142222000 is an abundant number, since it is smaller than the sum of its proper divisors (22907219280).

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

8142222000 is a wasteful number, since it uses less digits than its factorization.

8142222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 8142222000 is about 90234.2617856433. The cubic root of 8142222000 is about 2011.7822858992.

Adding to 8142222000 its reverse (2222418), we get a palindrome (8144444418).

The spelling of 8142222000 in words is "eight billion, one hundred forty-two million, two hundred twenty-two thousand".