8200222272 has 420 divisors, whose sum is σ = 28327220460. Its totient is φ = 2335703040.

The previous prime is 8200222243. The next prime is 8200222363. The reversal of 8200222272 is 2722220028.

It can be written as a sum of positive squares in 2 ways, for example, as 4857532416 + 3342689856 = 69696^2 + 57816^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10663104 + ... + 10663872.

It is an arithmetic number, because the mean of its divisors is an integer number (67445763).

Almost surely, 2^8200222272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8200222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14163610230).

8200222272 is an abundant number, since it is smaller than the sum of its proper divisors (20126998188).

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

8200222272 is a wasteful number, since it uses less digits than its factorization.

8200222272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 8200222272 is about 90555.0786648656. The cubic root of 8200222272 is about 2016.5478953008.

The spelling of 8200222272 in words is "eight billion, two hundred million, two hundred twenty-two thousand, two hundred seventy-two".