226625120 has 48 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 90246144.

The previous prime is 226625089. The next prime is 226625123. The reversal of 226625120 is 21526622.

It is a self number, because there is not a number n which added to its sum of digits gives 226625120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226625123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34241 + ... + 40319.

It is an arithmetic number, because the mean of its divisors is an integer number (11203920).

Almost surely, 2^226625120 is an apocalyptic number.

226625120 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 226625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

226625120 is an abundant number, since it is smaller than the sum of its proper divisors (311163040).

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

226625120 is a wasteful number, since it uses less digits than its factorization.

226625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 226625120 is about 15054.0732029574. The cubic root of 226625120 is about 609.6810300501.

The spelling of 226625120 in words is "two hundred twenty-six million, six hundred twenty-five thousand, one hundred twenty".