225244140000 has 960 divisors, whose sum is σ = 847960565760. Its totient is φ = 51840000000.

The previous prime is 225244139941. The next prime is 225244140001. The reversal of 225244140000 is 41442522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225244140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2066459946 + ... + 2066460054.

It is an arithmetic number, because the mean of its divisors is an integer number (883292256).

Almost surely, 2^225244140000 is an apocalyptic number.

225244140000 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 225244140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423980282880).

225244140000 is an abundant number, since it is smaller than the sum of its proper divisors (622716425760).

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

225244140000 is a wasteful number, since it uses less digits than its factorization.

225244140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 225244140000 its reverse (41442522), we get a palindrome (225285582522).

The spelling of 225244140000 in words is "two hundred twenty-five billion, two hundred forty-four million, one hundred forty thousand".