225233424 has 120 divisors (see below), whose sum is σ = 687872640. Its totient is φ = 68380416.

The previous prime is 225233423. The next prime is 225233453. The reversal of 225233424 is 424332522.

It is a happy number.

225233424 is a `hidden beast` number, since 2 + 2 + 5 + 233 + 424 = 666.

It is not an unprimeable number, because it can be changed into a prime (225233423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147127 + ... + 148649.

It is an arithmetic number, because the mean of its divisors is an integer number (5732272).

Almost surely, 2^225233424 is an apocalyptic number.

225233424 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 225233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343936320).

225233424 is an abundant number, since it is smaller than the sum of its proper divisors (462639216).

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

225233424 is a wasteful number, since it uses less digits than its factorization.

225233424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1620 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 225233424 is about 15007.7787830178. The cubic root of 225233424 is about 608.4304575187.

Adding to 225233424 its reverse (424332522), we get a palindrome (649565946).

The spelling of 225233424 in words is "two hundred twenty-five million, two hundred thirty-three thousand, four hundred twenty-four".