232022265300000 has 1728 divisors, whose sum is σ = 958168673280000. Its totient is φ = 52159161600000.

The previous prime is 232022265299959. The next prime is 232022265300011. The reversal of 232022265300000 is 3562220232.

232022265300000 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 2 + 2 + 2 + 653 + 0 + 0 + 0 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 154784699251 + ... + 154784700749.

It is an arithmetic number, because the mean of its divisors is an integer number (554495760000).

Almost surely, 2^{232022265300000} is an apocalyptic number.

232022265300000 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 232022265300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479084336640000).

232022265300000 is an abundant number, since it is smaller than the sum of its proper divisors (726146407980000).

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

232022265300000 is a wasteful number, since it uses less digits than its factorization.

232022265300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 232022265300000 in words is "two hundred thirty-two trillion, twenty-two billion, two hundred sixty-five million, three hundred thousand".