8229228000 has 192 divisors, whose sum is σ = 30810544128. Its totient is φ = 1880947200.

The previous prime is 8229227987. The next prime is 8229228037. The reversal of 8229228000 is 8229228.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35017 + ... + 132983.

It is an arithmetic number, because the mean of its divisors is an integer number (160471584).

Almost surely, 2^8229228000 is an apocalyptic number.

8229228000 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 8229228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405272064).

8229228000 is an abundant number, since it is smaller than the sum of its proper divisors (22581316128).

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

8229228000 is a wasteful number, since it uses less digits than its factorization.

8229228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98002 (or 97984 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8229228000 is about 90715.0924598548. The cubic root of 8229228000 is about 2018.9227337683.

8229228000 divided by its reverse (8229228) gives a cube (1000 = 10³).

The spelling of 8229228000 in words is "eight billion, two hundred twenty-nine million, two hundred twenty-eight thousand".