225561184 has 48 divisors (see below), whose sum is σ = 466972128. Its totient is φ = 107041792.

The previous prime is 225561169. The next prime is 225561197. The reversal of 225561184 is 481165522.

It is a happy number.

It is a super-3 number, since 3×225561184³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99714 + ... + 101950.

It is an arithmetic number, because the mean of its divisors is an integer number (9728586).

Almost surely, 2^225561184 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 225561184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233486064).

225561184 is an abundant number, since it is smaller than the sum of its proper divisors (241410944).

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

225561184 is a wasteful number, since it uses less digits than its factorization.

225561184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2399 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 225561184 is about 15018.6944838758. The cubic root of 225561184 is about 608.7254441000.

The spelling of 225561184 in words is "two hundred twenty-five million, five hundred sixty-one thousand, one hundred eighty-four".