2314133200 has 30 divisors (see below), whose sum is σ = 5559705974. Its totient is φ = 925653120.

The previous prime is 2314133179. The next prime is 2314133207. The reversal of 2314133200 is 23314132.

It can be written as a sum of positive squares in 3 ways, for example, as 138384 + 2313994816 = 372^2 + 48104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314133207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2892267 + ... + 2893066.

Almost surely, 2^2314133200 is an apocalyptic number.

2314133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314133200 is an abundant number, since it is smaller than the sum of its proper divisors (3245572774).

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

2314133200 is a wasteful number, since it uses less digits than its factorization.

2314133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5785351 (or 5785340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2314133200 is about 48105.4383619981. The cubic root of 2314133200 is about 1322.7043576984.

Adding to 2314133200 its reverse (23314132), we get a palindrome (2337447332).

The spelling of 2314133200 in words is "two billion, three hundred fourteen million, one hundred thirty-three thousand, two hundred".