8230013424 has 220 divisors, whose sum is σ = 24777765312. Its totient is φ = 2645395200.

The previous prime is 8230013413. The next prime is 8230013447. The reversal of 8230013424 is 4243100328.

8230013424 is a `hidden beast` number, since 8 + 230 + 0 + 1 + 3 + 424 = 666.

It is a super-3 number, since 3×8230013424³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 29288164 + ... + 29288444.

Almost surely, 2^8230013424 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 8230013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388882656).

8230013424 is an abundant number, since it is smaller than the sum of its proper divisors (16547751888).

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

8230013424 is an equidigital number, since it uses as much as digits as its factorization.

8230013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 317 counting only the distinct ones).

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

The square root of 8230013424 is about 90719.4214267265. The cubic root of 8230013424 is about 2018.9869625523.

The spelling of 8230013424 in words is "eight billion, two hundred thirty million, thirteen thousand, four hundred twenty-four".