225006100 has 144 divisors (see below), whose sum is σ = 560964096. Its totient is φ = 77616000.

The previous prime is 225006077. The next prime is 225006107. The reversal of 225006100 is 1600522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225006107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3169065 + ... + 3169135.

It is an arithmetic number, because the mean of its divisors is an integer number (3895584).

Almost surely, 2^225006100 is an apocalyptic number.

225006100 is a gapful number since it is divisible by the number (20) 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 225006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280482048).

225006100 is an abundant number, since it is smaller than the sum of its proper divisors (335957996).

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

225006100 is a wasteful number, since it uses less digits than its factorization.

225006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 225006100 is about 15000.2033319552. The cubic root of 225006100 is about 608.2256960161.

Adding to 225006100 its reverse (1600522), we get a palindrome (226606622).

The spelling of 225006100 in words is "two hundred twenty-five million, six thousand, one hundred".