225264044100 has 144 divisors (see below), whose sum is σ = 668913172928. Its totient is φ = 58498191360.

The previous prime is 225264044087. The next prime is 225264044107. The reversal of 225264044100 is 1440462522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (225264044107) 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, 4321392 + ... + 4373208.

Almost surely, 2^225264044100 is an apocalyptic number.

225264044100 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 225264044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334456586464).

225264044100 is an abundant number, since it is smaller than the sum of its proper divisors (443649128828).

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

225264044100 is a wasteful number, since it uses less digits than its factorization.

225264044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52214 (or 52207 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 225264044100 in words is "two hundred twenty-five billion, two hundred sixty-four million, forty-four thousand, one hundred".