8022229600 has 288 divisors, whose sum is σ = 25210386432. Its totient is φ = 2419200000.

The previous prime is 8022229591. The next prime is 8022229613. The reversal of 8022229600 is 69222208.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1907500 + ... + 1911700.

It is an arithmetic number, because the mean of its divisors is an integer number (87536064).

Almost surely, 2^8022229600 is an apocalyptic number.

8022229600 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 8022229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12605193216).

8022229600 is an abundant number, since it is smaller than the sum of its proper divisors (17188156832).

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

8022229600 is a wasteful number, since it uses less digits than its factorization.

8022229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 8022229600 is about 89566.9001361552. The cubic root of 8022229600 is about 2001.8507534941.

The spelling of 8022229600 in words is "eight billion, twenty-two million, two hundred twenty-nine thousand, six hundred".