225223532300 has 144 divisors (see below), whose sum is σ = 545702572800. Its totient is φ = 80111539200.

The previous prime is 225223532297. The next prime is 225223532311. The reversal of 225223532300 is 3235322522.

It is a happy number.

225223532300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17373221 + ... + 17386179.

It is an arithmetic number, because the mean of its divisors is an integer number (3789601200).

Almost surely, 2^225223532300 is an apocalyptic number.

225223532300 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 225223532300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272851286400).

225223532300 is an abundant number, since it is smaller than the sum of its proper divisors (320479040500).

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

225223532300 is a wasteful number, since it uses less digits than its factorization.

225223532300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13476 (or 13469 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

Adding to 225223532300 its reverse (3235322522), we get a palindrome (228458854822).

The spelling of 225223532300 in words is "two hundred twenty-five billion, two hundred twenty-three million, five hundred thirty-two thousand, three hundred".