Base | Representation |
---|---|
bin | 110100110011010010100111… |
… | …100100000001110111000000 |
3 | 1010110020022102022211100112200 |
4 | 310303102213210001313000 |
5 | 220414220403332000000 |
6 | 2141521453141153200 |
7 | 66625364655514200 |
oct | 6463224744016700 |
9 | 1113208368740480 |
10 | 232223103000000 |
11 | 67aa22a0666212 |
12 | 220664873bb800 |
13 | 9c76710794958 |
14 | 414b92dda2400 |
15 | 1bca9c8673500 |
hex | d334a7901dc0 |
232223103000000 has 882 divisors, whose sum is σ = 967863401971128. Its totient is φ = 53079465600000.
The previous prime is 232223102999977. The next prime is 232223103000001. The reversal of 232223103000000 is 301322232.
It is a happy number.
232223103000000 is a `hidden beast` number, since 2 + 32 + 22 + 310 + 300 + 0 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (882).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232223103000001) by changing a digit.
It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 440736709 + ... + 441263291.
Almost surely, 2232223103000000 is an apocalyptic number.
232223103000000 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 232223103000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483931700985564).
232223103000000 is an abundant number, since it is smaller than the sum of its proper divisors (735640298971128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232223103000000 is an frugal number, since it uses more digits than its factorization.
232223103000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 526645 (or 526600 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 232223103000000 its reverse (301322232), we get a palindrome (232223404322232).
The spelling of 232223103000000 in words is "two hundred thirty-two trillion, two hundred twenty-three billion, one hundred three million", and thus it is an aban number.
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