225432020000 has 240 divisors, whose sum is σ = 606963484512. Its totient is φ = 81711360000.

The previous prime is 225432019987. The next prime is 225432020017. The reversal of 225432020000 is 20234522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76338524 + ... + 76341476.

Almost surely, 2^225432020000 is an apocalyptic number.

225432020000 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 225432020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303481742256).

225432020000 is an abundant number, since it is smaller than the sum of its proper divisors (381531464512).

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

225432020000 is a wasteful number, since it uses less digits than its factorization.

225432020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 225432020000 its reverse (20234522), we get a palindrome (225452254522).

The spelling of 225432020000 in words is "two hundred twenty-five billion, four hundred thirty-two million, twenty thousand".