8165227200 has 672 divisors, whose sum is σ = 31113008640. Its totient is φ = 1857945600.

The previous prime is 8165227183. The next prime is 8165227207. The reversal of 8165227200 is 27225618.

It is not an unprimeable number, because it can be changed into a prime (8165227207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84177552 + ... + 84177648.

It is an arithmetic number, because the mean of its divisors is an integer number (46299120).

Almost surely, 2^8165227200 is an apocalyptic number.

8165227200 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 8165227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15556504320).

8165227200 is an abundant number, since it is smaller than the sum of its proper divisors (22947781440).

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

8165227200 is a wasteful number, since it uses less digits than its factorization.

8165227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 8165227200 is about 90361.6467313428. The cubic root of 8165227200 is about 2013.6752144694.

The spelling of 8165227200 in words is "eight billion, one hundred sixty-five million, two hundred twenty-seven thousand, two hundred".