225107568 has 180 divisors, whose sum is σ = 746281848. Its totient is φ = 63141120.

The previous prime is 225107567. The next prime is 225107569. The reversal of 225107568 is 865701522.

It is a happy number.

225107568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225107567) and next prime (225107569).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225107567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430155 + ... + 430677.

Almost surely, 2^225107568 is an apocalyptic number.

225107568 is a gapful number since it is divisible by the number (28) 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 225107568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373140924).

225107568 is an abundant number, since it is smaller than the sum of its proper divisors (521174280).

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

225107568 is a wasteful number, since it uses less digits than its factorization.

225107568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 225107568 is about 15003.5851715515. The cubic root of 225107568 is about 608.3171100863.

The spelling of 225107568 in words is "two hundred twenty-five million, one hundred seven thousand, five hundred sixty-eight".