2305252200 has 96 divisors (see below), whose sum is σ = 7186102560. Its totient is φ = 611308800.

The previous prime is 2305252151. The next prime is 2305252223. The reversal of 2305252200 is 22525032.

2305252200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97987 + ... + 119213.

It is an arithmetic number, because the mean of its divisors is an integer number (74855235).

Almost surely, 2^2305252200 is an apocalyptic number.

2305252200 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 2305252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593051280).

2305252200 is an abundant number, since it is smaller than the sum of its proper divisors (4880850360).

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

2305252200 is a wasteful number, since it uses less digits than its factorization.

2305252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21427 (or 21418 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2305252200 is about 48013.0419781959. The cubic root of 2305252200 is about 1321.0101312984.

Adding to 2305252200 its reverse (22525032), we get a palindrome (2327777232).

The spelling of 2305252200 in words is "two billion, three hundred five million, two hundred fifty-two thousand, two hundred".