225584742 has 16 divisors (see below), whose sum is σ = 453310272. Its totient is φ = 74838120.

The previous prime is 225584741. The next prime is 225584743. The reversal of 225584742 is 247485522.

225584742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225584741) and next prime (225584743).

It is a self number, because there is not a number n which added to its sum of digits gives 225584742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225584741) 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, 87828 + ... + 90359.

It is an arithmetic number, because the mean of its divisors is an integer number (28331892).

Almost surely, 2^225584742 is an apocalyptic number.

225584742 is an abundant number, since it is smaller than the sum of its proper divisors (227725530).

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

225584742 is a wasteful number, since it uses less digits than its factorization.

225584742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178403.

The product of its digits is 179200, while the sum is 39.

The square root of 225584742 is about 15019.4787526066. The cubic root of 225584742 is about 608.7466354748.

The spelling of 225584742 in words is "two hundred twenty-five million, five hundred eighty-four thousand, seven hundred forty-two".