Search a number
-
+
232330202220000 = 25354192323893709
BaseRepresentation
bin110100110100110110010111…
…001011001000010111100000
31010110121112212020220102211110
4310310312113023020113200
5220422444223232020000
62142043004345143320
766636205665045123
oct6464662713102740
91113545766812743
10232330202220000
116803375a354385
122208319678ab40
139c8384b009a91
144152badc0a3ba
151bcd695c75850
hexd34d972c85e0

232330202220000 has 960 divisors, whose sum is σ = 837653914944000. Its totient is φ = 56103404544000.

The previous prime is 232330202219939. The next prime is 232330202220001. The reversal of 232330202220000 is 22202033232.

It is a super-3 number, since 3×2323302022200003 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232330202220001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 62639578146 + ... + 62639581854.

It is an arithmetic number, because the mean of its divisors is an integer number (872556161400).

Almost surely, 2232330202220000 is an apocalyptic number.

232330202220000 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 232330202220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418826957472000).

232330202220000 is an abundant number, since it is smaller than the sum of its proper divisors (605323712724000).

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

232330202220000 is a wasteful number, since it uses less digits than its factorization.

232330202220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 232330202220000 its reverse (22202033232), we get a palindrome (232352404253232).

The spelling of 232330202220000 in words is "two hundred thirty-two trillion, three hundred thirty billion, two hundred two million, two hundred twenty thousand".