225243120 has 80 divisors (see below), whose sum is σ = 710133120. Its totient is φ = 59043072.

The previous prime is 225243101. The next prime is 225243121. The reversal of 225243120 is 21342522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225243121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6207 + ... + 22113.

It is an arithmetic number, because the mean of its divisors is an integer number (8876664).

Almost surely, 2^225243120 is an apocalyptic number.

225243120 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 225243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355066560).

225243120 is an abundant number, since it is smaller than the sum of its proper divisors (484890000).

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

225243120 is a wasteful number, since it uses less digits than its factorization.

225243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15982 (or 15976 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 225243120 is about 15008.1018120214. The cubic root of 225243120 is about 608.4391881013.

Adding to 225243120 its reverse (21342522), we get a palindrome (246585642).

The spelling of 225243120 in words is "two hundred twenty-five million, two hundred forty-three thousand, one hundred twenty".