230000133322320 has 320 divisors, whose sum is σ = 748903397829120. Its totient is φ = 58312471117824.

The previous prime is 230000133322313. The next prime is 230000133322331. The reversal of 230000133322320 is 23223331000032.

It is a super-2 number, since 2×230000133322320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 313118517 + ... + 313852203.

It is an arithmetic number, because the mean of its divisors is an integer number (2340323118216).

Almost surely, 2^{230000133322320} is an apocalyptic number.

230000133322320 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 230000133322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374451698914560).

230000133322320 is an abundant number, since it is smaller than the sum of its proper divisors (518903264506800).

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

230000133322320 is a wasteful number, since it uses less digits than its factorization.

230000133322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734422 (or 734416 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 230000133322320 its reverse (23223331000032), we get a palindrome (253223464322352).

The spelling of 230000133322320 in words is "two hundred thirty trillion, one hundred thirty-three million, three hundred twenty-two thousand, three hundred twenty".