2300223213200 has 180 divisors, whose sum is σ = 6222507908484. Its totient is φ = 816043008000.

The previous prime is 2300223213199. The next prime is 2300223213271. The reversal of 2300223213200 is 23123220032.

It can be written as a sum of positive squares in 6 ways, for example, as 482569187584 + 1817654025616 = 694672^2 + 1348204^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1404824 + ... + 2563976.

Almost surely, 2^{2300223213200} is an apocalyptic number.

2300223213200 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 2300223213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111253954242).

2300223213200 is an abundant number, since it is smaller than the sum of its proper divisors (3922284695284).

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

2300223213200 is a wasteful number, since it uses less digits than its factorization.

2300223213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159234 (or 1159212 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2300223213200 its reverse (23123220032), we get a palindrome (2323346433232).

The spelling of 2300223213200 in words is "two trillion, three hundred billion, two hundred twenty-three million, two hundred thirteen thousand, two hundred".