225330222033522 has 96 divisors (see below), whose sum is σ = 510885103704768. Its totient is φ = 71699233027968.

The previous prime is 225330222033509. The next prime is 225330222033523.

225330222033522 is a `hidden beast` number, since 2 + 2 + 53 + 30 + 2 + 2 + 20 + 33 + 522 = 666.

225330222033522 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (225330222033523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1820008873 + ... + 1820132675.

It is an arithmetic number, because the mean of its divisors is an integer number (5321719830258).

Almost surely, 2^{225330222033522} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225330222033522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255442551852384).

225330222033522 is an abundant number, since it is smaller than the sum of its proper divisors (285554881671246).

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

225330222033522 is a wasteful number, since it uses less digits than its factorization.

225330222033522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175464 (or 175461 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 225330222033522 in words is "two hundred twenty-five trillion, three hundred thirty billion, two hundred twenty-two million, thirty-three thousand, five hundred twenty-two".