225205344 has 216 divisors, whose sum is σ = 793748592. Its totient is φ = 59304960.

The previous prime is 225205327. The next prime is 225205349. The reversal of 225205344 is 443502522.

It is a happy number.

It is a super-3 number, since 3×225205344³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225205349) 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 35 ways as a sum of consecutive naturals, for example, 340374 + ... + 341034.

It is an arithmetic number, because the mean of its divisors is an integer number (3674762).

Almost surely, 2^225205344 is an apocalyptic number.

225205344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396874296).

225205344 is an abundant number, since it is smaller than the sum of its proper divisors (568543248).

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

225205344 is a wasteful number, since it uses less digits than its factorization.

225205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 686 counting only the distinct ones).

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

The square root of 225205344 is about 15006.8432390027. The cubic root of 225205344 is about 608.4051719920.

Adding to 225205344 its reverse (443502522), we get a palindrome (668707866).

The spelling of 225205344 in words is "two hundred twenty-five million, two hundred five thousand, three hundred forty-four".