225534222435522 has 288 divisors, whose sum is σ = 627265012312512. Its totient is φ = 53538740640000.

The previous prime is 225534222435469. The next prime is 225534222435527.

225534222435522 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (225534222435527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44294397 + ... + 49122927.

It is an arithmetic number, because the mean of its divisors is an integer number (2178003514974).

Almost surely, 2^{225534222435522} is an apocalyptic number.

225534222435522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225534222435522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313632506156256).

225534222435522 is an abundant number, since it is smaller than the sum of its proper divisors (401730789876990).

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

225534222435522 is a wasteful number, since it uses less digits than its factorization.

225534222435522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828686 (or 4828668 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 48.

The spelling of 225534222435522 in words is "two hundred twenty-five trillion, five hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-five thousand, five hundred twenty-two".