225522 has 48 divisors (see below), whose sum is σ = 572832. Its totient is φ = 63360.

The previous prime is 225509. The next prime is 225523.

225522 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (400) is a multiple of the sum of its prime divisors (100).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 225495 and 225504.

It is not an unprimeable number, because it can be changed into a prime (225523) by changing a digit.

225522 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3333 + ... + 3399.

It is an arithmetic number, because the mean of its divisors is an integer number (11934).

2²²⁵⁵²² is an apocalyptic number.

225522 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 225522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286416).

225522 is an abundant number, since it is smaller than the sum of its proper divisors (347310).

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

225522 is a wasteful number, since it uses less digits than its factorization.

225522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 100 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 225522 is about 474.8915665707. The cubic root of 225522 is about 60.8690193237.

It can be divided in two parts, 225 and 522, that added together give a palindrome (747).

The spelling of 225522 in words is "two hundred twenty-five thousand, five hundred twenty-two".