225362592 has 144 divisors (see below), whose sum is σ = 788860800. Its totient is φ = 59429376.

The previous prime is 225362587. The next prime is 225362593. The reversal of 225362592 is 295263522.

It is a happy number.

225362592 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 62 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225362593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21909 + ... + 30507.

It is an arithmetic number, because the mean of its divisors is an integer number (5478200).

Almost surely, 2^225362592 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 225362592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394430400).

225362592 is an abundant number, since it is smaller than the sum of its proper divisors (563498208).

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

225362592 is a wasteful number, since it uses less digits than its factorization.

225362592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8624 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 225362592 is about 15012.0815345508. The cubic root of 225362592 is about 608.5467438812.

The spelling of 225362592 in words is "two hundred twenty-five million, three hundred sixty-two thousand, five hundred ninety-two".