230221322232000 has 448 divisors, whose sum is σ = 837510039894528. Its totient is φ = 55258636800000.

The previous prime is 230221322231983. The next prime is 230221322232073. The reversal of 230221322232000 is 232223122032.

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

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, 22346919 + ... + 30981081.

It is an arithmetic number, because the mean of its divisors is an integer number (1869442053336).

Almost surely, 2^{230221322232000} is an apocalyptic number.

230221322232000 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 230221322232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418755019947264).

230221322232000 is an abundant number, since it is smaller than the sum of its proper divisors (607288717662528).

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

230221322232000 is a wasteful number, since it uses less digits than its factorization.

230221322232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634305 (or 8634285 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230221322232000 its reverse (232223122032), we get a palindrome (230453545354032).

The spelling of 230221322232000 in words is "two hundred thirty trillion, two hundred twenty-one billion, three hundred twenty-two million, two hundred thirty-two thousand".