2313344200 has 72 divisors (see below), whose sum is σ = 5425258230. Its totient is φ = 917363200.

The previous prime is 2313344197. The next prime is 2313344227. The reversal of 2313344200 is 24433132.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 196056004 + 2117288196 = 14002^2 + 46014^2 .

It is a super-2 number, since 2×2313344200² = 10703122775347280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4439940 + ... + 4440460.

Almost surely, 2^2313344200 is an apocalyptic number.

2313344200 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 2313344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712629115).

2313344200 is an abundant number, since it is smaller than the sum of its proper divisors (3111914030).

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

2313344200 is a wasteful number, since it uses less digits than its factorization.

2313344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2313344200 is about 48097.2369268755. The cubic root of 2313344200 is about 1322.5540159684.

Adding to 2313344200 its reverse (24433132), we get a palindrome (2337777332).

The spelling of 2313344200 in words is "two billion, three hundred thirteen million, three hundred forty-four thousand, two hundred".