225253541440 has 112 divisors (see below), whose sum is σ = 570052047600. Its totient is φ = 84485537792.

The previous prime is 225253541437. The next prime is 225253541449. The reversal of 225253541440 is 44145352522.

It can be written as a sum of positive squares in 8 ways, for example, as 35875390464 + 189378150976 = 189408^2 + 435176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225253541440.

It is not an unprimeable number, because it can be changed into a prime (225253541449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386396 + ... + 1540324.

It is an arithmetic number, because the mean of its divisors is an integer number (5089750425).

Almost surely, 2^225253541440 is an apocalyptic number.

225253541440 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 225253541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285026023800).

225253541440 is an abundant number, since it is smaller than the sum of its proper divisors (344798506160).

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

225253541440 is a wasteful number, since it uses less digits than its factorization.

225253541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154232 (or 154222 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 225253541440 its reverse (44145352522), we get a palindrome (269398893962).

The spelling of 225253541440 in words is "two hundred twenty-five billion, two hundred fifty-three million, five hundred forty-one thousand, four hundred forty".