225554112 has 224 divisors, whose sum is σ = 785164800. Its totient is φ = 62125056.

The previous prime is 225554101. The next prime is 225554117. The reversal of 225554112 is 211455522.

225554112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225554117) 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, 350463 + ... + 351105.

It is an arithmetic number, because the mean of its divisors is an integer number (3505200).

Almost surely, 2^225554112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392582400).

225554112 is an abundant number, since it is smaller than the sum of its proper divisors (559610688).

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

225554112 is a wasteful number, since it uses less digits than its factorization.

225554112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 684 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 225554112 is about 15018.4590421255. The cubic root of 225554112 is about 608.7190822617.

The spelling of 225554112 in words is "two hundred twenty-five million, five hundred fifty-four thousand, one hundred twelve".