Base | Representation |
---|---|
bin | 1101100001011100001… |
… | …0000010011000100000 |
3 | 211012122101222200112002 |
4 | 3120113002002120200 |
5 | 12301240022102000 |
6 | 254420205023132 |
7 | 22532654615045 |
oct | 3302702023040 |
9 | 735571880462 |
10 | 232314644000 |
11 | 8a58461855a |
12 | 39035854aa8 |
13 | 18ba40b59ba |
14 | b35bacb1cc |
15 | 609a3b38d5 |
hex | 3617082620 |
232314644000 has 96 divisors (see below), whose sum is σ = 572390582400. Its totient is φ = 92666438400.
The previous prime is 232314643909. The next prime is 232314644047. The reversal of 232314644000 is 446413232.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1355111 + ... + 1516889.
It is an arithmetic number, because the mean of its divisors is an integer number (5962401900).
Almost surely, 2232314644000 is an apocalyptic number.
232314644000 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 232314644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286195291200).
232314644000 is an abundant number, since it is smaller than the sum of its proper divisors (340075938400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232314644000 is a wasteful number, since it uses less digits than its factorization.
232314644000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162163 (or 162145 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 29.
The spelling of 232314644000 in words is "two hundred thirty-two billion, three hundred fourteen million, six hundred forty-four thousand".
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