225006647100 has 288 divisors, whose sum is σ = 704294922240. Its totient is φ = 55292160000.

The previous prime is 225006647087. The next prime is 225006647113. The reversal of 225006647100 is 1746600522.

It is an interprime number because it is at equal distance from previous prime (225006647087) and next prime (225006647113).

It is a super-3 number, since 3×225006647100³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120259165 + ... + 120261035.

It is an arithmetic number, because the mean of its divisors is an integer number (2445468480).

Almost surely, 2^225006647100 is an apocalyptic number.

225006647100 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 225006647100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352147461120).

225006647100 is an abundant number, since it is smaller than the sum of its proper divisors (479288275140).

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

225006647100 is a wasteful number, since it uses less digits than its factorization.

225006647100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 225006647100 in words is "two hundred twenty-five billion, six million, six hundred forty-seven thousand, one hundred".