225441792 has 168 divisors, whose sum is σ = 680326920. Its totient is φ = 74649600.

The previous prime is 225441781. The next prime is 225441809. The reversal of 225441792 is 297144522.

225441792 is a `hidden beast` number, since 22 + 544 + 1 + 7 + 92 = 666.

225441792 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1492917 + ... + 1493067.

It is an arithmetic number, because the mean of its divisors is an integer number (4049565).

Almost surely, 2^225441792 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 225441792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340163460).

225441792 is an abundant number, since it is smaller than the sum of its proper divisors (454885128).

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

225441792 is an frugal number, since it uses more digits than its factorization.

225441792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 225441792 is about 15014.7191781931. The cubic root of 225441792 is about 608.6180234679.

It can be divided in two parts, 22544 and 1792, that added together give a square (24336 = 156²).

The spelling of 225441792 in words is "two hundred twenty-five million, four hundred forty-one thousand, seven hundred ninety-two".