2200312400 has 270 divisors, whose sum is σ = 6315240330. Its totient is φ = 735820800.

The previous prime is 2200312393. The next prime is 2200312409. The reversal of 2200312400 is 42130022.

It can be written as a sum of positive squares in 9 ways, for example, as 1893642256 + 306670144 = 43516^2 + 17512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200312409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 8179466 + ... + 8179734.

It is an arithmetic number, because the mean of its divisors is an integer number (23389779).

Almost surely, 2^2200312400 is an apocalyptic number.

2200312400 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 2200312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157620165).

2200312400 is an abundant number, since it is smaller than the sum of its proper divisors (4114927930).

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

2200312400 is a wasteful number, since it uses less digits than its factorization.

2200312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2200312400 is about 46907.4876752102. The cubic root of 2200312400 is about 1300.6530052662.

Adding to 2200312400 its reverse (42130022), we get a palindrome (2242442422).

The spelling of 2200312400 in words is "two billion, two hundred million, three hundred twelve thousand, four hundred".