225148 has 48 divisors (see below), whose sum is σ = 532224. Its totient is φ = 80640.

The previous prime is 225143. The next prime is 225149. The reversal of 225148 is 841522.

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (640) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225143) 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, 5215 + ... + 5257.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2²²⁵¹⁴⁸ is an apocalyptic number.

225148 is a gapful number since it is divisible by the number (28) 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 225148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112).

225148 is an abundant number, since it is smaller than the sum of its proper divisors (307076).

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

225148 is a wasteful number, since it uses less digits than its factorization.

225148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 225148 is about 474.4976290773. The cubic root of 225148 is about 60.8353528238.

It can be divided in two parts, 22514 and 8, that added together give a palindrome (22522).

The spelling of 225148 in words is "two hundred twenty-five thousand, one hundred forty-eight".