225215424 has 224 divisors, whose sum is σ = 776061440. Its totient is φ = 62705664.

The previous prime is 225215413. The next prime is 225215429. The reversal of 225215424 is 424512522.

225215424 is a `hidden beast` number, since 2 + 25 + 215 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225215429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519912 + ... + 520344.

It is an arithmetic number, because the mean of its divisors is an integer number (3464560).

Almost surely, 2^225215424 is an apocalyptic number.

225215424 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 225215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388030720).

225215424 is an abundant number, since it is smaller than the sum of its proper divisors (550846016).

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

225215424 is a wasteful number, since it uses less digits than its factorization.

225215424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 225215424 is about 15007.1790820260. The cubic root of 225215424 is about 608.4142490895.

Adding to 225215424 its reverse (424512522), we get a palindrome (649727946).

The spelling of 225215424 in words is "two hundred twenty-five million, two hundred fifteen thousand, four hundred twenty-four".