225024400000 has 192 divisors, whose sum is σ = 574035993720. Its totient is φ = 87808000000.

The previous prime is 225024399989. The next prime is 225024400009. The reversal of 225024400000 is 4420522.

225024400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 193086421056 + 31937978944 = 439416^2 + 178712^2 .

It is not an unprimeable number, because it can be changed into a prime (225024400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16393140 + ... + 16406860.

Almost surely, 2^225024400000 is an apocalyptic number.

225024400000 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 225024400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287017996860).

225024400000 is an abundant number, since it is smaller than the sum of its proper divisors (349011593720).

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

225024400000 is an frugal number, since it uses more digits than its factorization.

225024400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13801 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

Adding to 225024400000 its reverse (4420522), we get a palindrome (225028820522).

The spelling of 225024400000 in words is "two hundred twenty-five billion, twenty-four million, four hundred thousand".