Search a number
-
+
232232232100000 = 255511832543617
BaseRepresentation
bin110100110011011011000111…
…101100110010000010100000
31010110021011222112211200110111
4310303123013230302002200
5220414343102404200000
62141530003053341104
766626140126550116
oct6463330754620240
91113234875750414
10232232232100000
1167aa6155814160
12220681b4797794
139c77536c06b82
14414c1585c1ab6
151bcad5ed51cba
hexd336c7b320a0

232232232100000 has 288 divisors, whose sum is σ = 630935857645632. Its totient is φ = 83430604800000.

The previous prime is 232232232099941. The next prime is 232232232100013. The reversal of 232232232100000 is 1232232232.

It is a super-2 number, since 2×2322322321000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90028192 + ... + 92571808.

It is an arithmetic number, because the mean of its divisors is an integer number (2190749505714).

Almost surely, 2232232232100000 is an apocalyptic number.

232232232100000 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 232232232100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315467928822816).

232232232100000 is an abundant number, since it is smaller than the sum of its proper divisors (398703625545632).

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

232232232100000 is an equidigital number, since it uses as much as digits as its factorization.

232232232100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543746 (or 2543718 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 232232232100000 its reverse (1232232232), we get a palindrome (232233464332232).

The spelling of 232232232100000 in words is "two hundred thirty-two trillion, two hundred thirty-two billion, two hundred thirty-two million, one hundred thousand".