2230348900 has 144 divisors (see below), whose sum is σ = 5423559120. Its totient is φ = 790732800.

The previous prime is 2230348891. The next prime is 2230348921. The reversal of 2230348900 is 98430322.

It can be written as a sum of positive squares in 24 ways, for example, as 1892598016 + 337750884 = 43504^2 + 18378^2 .

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 47 ways as a sum of consecutive naturals, for example, 4280640 + ... + 4281160.

It is an arithmetic number, because the mean of its divisors is an integer number (37663605).

Almost surely, 2^2230348900 is an apocalyptic number.

2230348900 is a gapful number since it is divisible by the number (20) 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 2230348900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711779560).

2230348900 is an abundant number, since it is smaller than the sum of its proper divisors (3193210220).

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

2230348900 is a wasteful number, since it uses less digits than its factorization.

2230348900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2230348900 is about 47226.5698521500. The cubic root of 2230348900 is about 1306.5446885940.

The spelling of 2230348900 in words is "two billion, two hundred thirty million, three hundred forty-eight thousand, nine hundred".