233225121522540 has 192 divisors, whose sum is σ = 754241008195584. Its totient is φ = 52743767611392.

The previous prime is 233225121522509. The next prime is 233225121522553. The reversal of 233225121522540 is 45225121522332.

233225121522540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45908152 + ... + 50734688.

It is an arithmetic number, because the mean of its divisors is an integer number (3928338584352).

Almost surely, 2^{233225121522540} is an apocalyptic number.

233225121522540 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 233225121522540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377120504097792).

233225121522540 is an abundant number, since it is smaller than the sum of its proper divisors (521015886673044).

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

233225121522540 is a wasteful number, since it uses less digits than its factorization.

233225121522540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827776 (or 4827774 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 233225121522540 in words is "two hundred thirty-three trillion, two hundred twenty-five billion, one hundred twenty-one million, five hundred twenty-two thousand, five hundred forty".