225544032 has 144 divisors (see below), whose sum is σ = 776254752. Its totient is φ = 60641280.

The previous prime is 225544031. The next prime is 225544051. The reversal of 225544032 is 230445522.

It is a happy number.

225544032 is a `hidden beast` number, since 2 + 255 + 4 + 403 + 2 = 666.

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

It is a super-2 number, since 2×225544032² = 101740220741634048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225543987 and 225544005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225544031) 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, 30982 + ... + 37562.

It is an arithmetic number, because the mean of its divisors is an integer number (5390658).

Almost surely, 2^225544032 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 225544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388127376).

225544032 is an abundant number, since it is smaller than the sum of its proper divisors (550710720).

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

225544032 is a wasteful number, since it uses less digits than its factorization.

225544032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6621 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 225544032 is about 15018.1234513504. The cubic root of 225544032 is about 608.7100142533.

Adding to 225544032 its reverse (230445522), we get a palindrome (455989554).

The spelling of 225544032 in words is "two hundred twenty-five million, five hundred forty-four thousand, thirty-two".