8233221024 has 336 divisors, whose sum is σ = 28063623168. Its totient is φ = 2327947776.

The previous prime is 8233221001. The next prime is 8233221041. The reversal of 8233221024 is 4201223328.

It is a tau number, because it is divible by the number of its divisors (336).

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 55 ways as a sum of consecutive naturals, for example, 20738394 + ... + 20738790.

It is an arithmetic number, because the mean of its divisors is an integer number (83522688).

Almost surely, 2^8233221024 is an apocalyptic number.

8233221024 is a gapful number since it is divisible by the number (84) 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 8233221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031811584).

8233221024 is an abundant number, since it is smaller than the sum of its proper divisors (19830402144).

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

8233221024 is a wasteful number, since it uses less digits than its factorization.

8233221024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8233221024 is about 90737.0983886966. The cubic root of 8233221024 is about 2019.2492246366.

The spelling of 8233221024 in words is "eight billion, two hundred thirty-three million, two hundred twenty-one thousand, twenty-four".