232222133145040 has 160 divisors (see below), whose sum is σ = 577365866576640. Its totient is φ = 86554795008000.

The previous prime is 232222133145007. The next prime is 232222133145097. The reversal of 232222133145040 is 40541331222232.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 232222133144987 and 232222133145005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4137117775 + ... + 4137173905.

It is an arithmetic number, because the mean of its divisors is an integer number (3608536666104).

Almost surely, 2^{232222133145040} is an apocalyptic number.

232222133145040 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 232222133145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288682933288320).

232222133145040 is an abundant number, since it is smaller than the sum of its proper divisors (345143733431600).

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

232222133145040 is a wasteful number, since it uses less digits than its factorization.

232222133145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86381 (or 86375 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 232222133145040 its reverse (40541331222232), we get a palindrome (272763464367272).

The spelling of 232222133145040 in words is "two hundred thirty-two trillion, two hundred twenty-two billion, one hundred thirty-three million, one hundred forty-five thousand, forty".