225522024 has 128 divisors (see below), whose sum is σ = 716513280. Its totient is φ = 57542400.

The previous prime is 225521987. The next prime is 225522029. The reversal of 225522024 is 420225522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 225521985 and 225522003.

It is not an unprimeable number, because it can be changed into a prime (225522029) 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 31 ways as a sum of consecutive naturals, for example, 66039 + ... + 69369.

It is an arithmetic number, because the mean of its divisors is an integer number (5597760).

Almost surely, 2^225522024 is an apocalyptic number.

225522024 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 225522024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358256640).

225522024 is an abundant number, since it is smaller than the sum of its proper divisors (490991256).

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

225522024 is a wasteful number, since it uses less digits than its factorization.

225522024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 225522024 is about 15017.3907187634. The cubic root of 225522024 is about 608.6902148293.

Adding to 225522024 its reverse (420225522), we get a palindrome (645747546).

The spelling of 225522024 in words is "two hundred twenty-five million, five hundred twenty-two thousand, twenty-four".