225467712 has 280 divisors, whose sum is σ = 731715072. Its totient is φ = 68428800.

The previous prime is 225467687. The next prime is 225467713. The reversal of 225467712 is 217764522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (47040) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225467713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3696162 + ... + 3696222.

Almost surely, 2^225467712 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 225467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365857536).

225467712 is an abundant number, since it is smaller than the sum of its proper divisors (506247360).

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

225467712 is a wasteful number, since it uses less digits than its factorization.

225467712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 225467712 is about 15015.5823063909. The cubic root of 225467712 is about 608.6413477067.

The spelling of 225467712 in words is "two hundred twenty-five million, four hundred sixty-seven thousand, seven hundred twelve".