225611100 has 216 divisors, whose sum is σ = 831269712. Its totient is φ = 50457600.

The previous prime is 225611081. The next prime is 225611159. The reversal of 225611100 is 1116522.

225611100 is a `hidden beast` number, since 2 + 2 + 561 + 1 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127824 + ... + 129576.

Almost surely, 2^225611100 is an apocalyptic number.

225611100 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 225611100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415634856).

225611100 is an abundant number, since it is smaller than the sum of its proper divisors (605658612).

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

225611100 is a wasteful number, since it uses less digits than its factorization.

225611100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 225611100 is about 15020.3561875210. The cubic root of 225611100 is about 608.7703438143.

Adding to 225611100 its reverse (1116522), we get a palindrome (226727622).

The spelling of 225611100 in words is "two hundred twenty-five million, six hundred eleven thousand, one hundred".