8230900000 has 144 divisors (see below), whose sum is σ = 20649881448. Its totient is φ = 3228160000.

The previous prime is 8230899977. The next prime is 8230900001. The reversal of 8230900000 is 90328.

It can be written as a sum of positive squares in 12 ways, for example, as 4756033296 + 3474866704 = 68964^2 + 58948^2 .

It is not an unprimeable number, because it can be changed into a prime (8230900001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5299224 + ... + 5300776.

Almost surely, 2^8230900000 is an apocalyptic number.

8230900000 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 8230900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324940724).

8230900000 is an abundant number, since it is smaller than the sum of its proper divisors (12418981448).

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

8230900000 is an equidigital number, since it uses as much as digits as its factorization.

8230900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 8230900000 is about 90724.3076578708. The cubic root of 8230900000 is about 2019.0594582265.

Adding to 8230900000 its reverse (90328), we get a palindrome (8230990328).

The spelling of 8230900000 in words is "eight billion, two hundred thirty million, nine hundred thousand".