225805440200 has 36 divisors (see below), whose sum is σ = 525013273395. Its totient is φ = 90319488000.

The previous prime is 225805440097. The next prime is 225805440227. The reversal of 225805440200 is 2044508522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 733001476 + 225072438724 = 27074^2 + 474418^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336010.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6703400 + ... + 6737000.

Almost surely, 2^225805440200 is an apocalyptic number.

225805440200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225805440200 is an abundant number, since it is smaller than the sum of its proper divisors (299207833195).

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

225805440200 is an frugal number, since it uses more digits than its factorization.

225805440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67218 (or 33608 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Multiplying 225805440200 by its sum of digits (32), we get a square (7225774086400 = 2688080²).

Adding to 225805440200 its reverse (2044508522), we get a palindrome (227849948722).

The spelling of 225805440200 in words is "two hundred twenty-five billion, eight hundred five million, four hundred forty thousand, two hundred".