225111120 has 160 divisors (see below), whose sum is σ = 784449792. Its totient is φ = 52985856.

The previous prime is 225111113. The next prime is 225111121. The reversal of 225111120 is 21111522.

225111120 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 is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 225111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70192 + ... + 73328.

Almost surely, 2^225111120 is an apocalyptic number.

225111120 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 225111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392224896).

225111120 is an abundant number, since it is smaller than the sum of its proper divisors (559338672).

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

225111120 is a wasteful number, since it uses less digits than its factorization.

225111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 225111120 is about 15003.7035427924. The cubic root of 225111120 is about 608.3203096397.

Adding to 225111120 its reverse (21111522), we get a palindrome (246222642).

The spelling of 225111120 in words is "two hundred twenty-five million, one hundred eleven thousand, one hundred twenty".