233225245504020 has 768 divisors, whose sum is σ = 834348675686400. Its totient is φ = 47274650542080.

The previous prime is 233225245503953. The next prime is 233225245504033. The reversal of 233225245504020 is 20405542522332.

It is a self number, because there is not a number n which added to its sum of digits gives 233225245504020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36504182986 + ... + 36504189374.

It is an arithmetic number, because the mean of its divisors is an integer number (1086391504800).

Almost surely, 2^{233225245504020} is an apocalyptic number.

233225245504020 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 233225245504020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417174337843200).

233225245504020 is an abundant number, since it is smaller than the sum of its proper divisors (601123430182380).

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

233225245504020 is a wasteful number, since it uses less digits than its factorization.

233225245504020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

The spelling of 233225245504020 in words is "two hundred thirty-three trillion, two hundred twenty-five billion, two hundred forty-five million, five hundred four thousand, twenty".