225026120 has 96 divisors (see below), whose sum is σ = 586051200. Its totient is φ = 77489280.

The previous prime is 225026111. The next prime is 225026141. The reversal of 225026120 is 21620522.

225026120 is digitally balanced in base 3, because in such base 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 225026092 and 225026101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90737 + ... + 93183.

It is an arithmetic number, because the mean of its divisors is an integer number (6104700).

Almost surely, 2^225026120 is an apocalyptic number.

225026120 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 225026120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293025600).

225026120 is an abundant number, since it is smaller than the sum of its proper divisors (361025080).

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

225026120 is a wasteful number, since it uses less digits than its factorization.

225026120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 225026120 is about 15000.8706413995. The cubic root of 225026120 is about 608.2437345157.

Adding to 225026120 its reverse (21620522), we get a palindrome (246646642).

The spelling of 225026120 in words is "two hundred twenty-five million, twenty-six thousand, one hundred twenty".