2302313200 has 120 divisors (see below), whose sum is σ = 6059143440. Its totient is φ = 833740800.

The previous prime is 2302313173. The next prime is 2302313231. The reversal of 2302313200 is 23132032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1217856 + ... + 1219744.

It is an arithmetic number, because the mean of its divisors is an integer number (50492862).

Almost surely, 2^2302313200 is an apocalyptic number.

2302313200 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 2302313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029571720).

2302313200 is an abundant number, since it is smaller than the sum of its proper divisors (3756830240).

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

2302313200 is a wasteful number, since it uses less digits than its factorization.

2302313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2302313200 is about 47982.4259495078. The cubic root of 2302313200 is about 1320.4485007928.

Adding to 2302313200 its reverse (23132032), we get a palindrome (2325445232).

The spelling of 2302313200 in words is "two billion, three hundred two million, three hundred thirteen thousand, two hundred".