225533104000 has 128 divisors (see below), whose sum is σ = 569926468800. Its totient is φ = 88733952000.

The previous prime is 225533103953. The next prime is 225533104003. The reversal of 225533104000 is 401335522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225533104003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860461 + ... + 1091539.

Almost surely, 2^225533104000 is an apocalyptic number.

225533104000 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 225533104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284963234400).

225533104000 is an abundant number, since it is smaller than the sum of its proper divisors (344393364800).

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

225533104000 is an equidigital number, since it uses as much as digits as its factorization.

225533104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231169 (or 231147 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 225533104000 its reverse (401335522), we get a palindrome (225934439522).

The spelling of 225533104000 in words is "two hundred twenty-five billion, five hundred thirty-three million, one hundred four thousand".