225040 has 40 divisors (see below), whose sum is σ = 546840. Its totient is φ = 86016.

The previous prime is 225037. The next prime is 225061. The reversal of 225040 is 40522.

It is a happy number.

225040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 204304 = 144^2 + 452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×225040⁴ (a number of 23 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2272 + ... + 2368.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2²²⁵⁰⁴⁰ is an apocalyptic number.

225040 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 225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420).

225040 is an abundant number, since it is smaller than the sum of its proper divisors (321800).

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

225040 is a wasteful number, since it uses less digits than its factorization.

225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 225040 is about 474.3838108536. The cubic root of 225040 is about 60.8256240100.

Adding to 225040 its reverse (40522), we get a palindrome (265562).

It can be divided in two parts, 2250 and 40, that multiplied together give a square (90000 = 300²).

The spelling of 225040 in words is "two hundred twenty-five thousand, forty".