Base | Representation |
---|---|
bin | 110010110000011101010011… |
… | …011001001100101011001000 |
3 | 1002021101210122111120022201100 |
4 | 302300131103121030223020 |
5 | 213224414300011332130 |
6 | 2110435303011421400 |
7 | 65010001045636353 |
oct | 6260352331145310 |
9 | 1067353574508640 |
10 | 223232324324040 |
11 | 6514632a476349 |
12 | 21053b058b4860 |
13 | 9773944197525 |
14 | 3d1a705c6529a |
15 | 1ac1bb97e0c60 |
hex | cb075364cac8 |
223232324324040 has 192 divisors, whose sum is σ = 758683859581440. Its totient is φ = 56817436515840.
The previous prime is 223232324323951. The next prime is 223232324324057. The reversal of 223232324324040 is 40423423232322.
223232324324040 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 3 + 2 + 3 + 243 + 2 + 404 + 0 = 666.
It is a super-3 number, since 3×2232323243240403 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 223232324323986 and 223232324324004.
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, 25281291 + ... + 32948570.
It is an arithmetic number, because the mean of its divisors is an integer number (3951478435320).
Almost surely, 2223232324324040 is an apocalyptic number.
223232324324040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223232324324040 is an abundant number, since it is smaller than the sum of its proper divisors (535451535257400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223232324324040 is a wasteful number, since it uses less digits than its factorization.
223232324324040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58230364 (or 58230357 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 36.
Adding to 223232324324040 its reverse (40423423232322), we get a palindrome (263655747556362).
The spelling of 223232324324040 in words is "two hundred twenty-three trillion, two hundred thirty-two billion, three hundred twenty-four million, three hundred twenty-four thousand, forty".
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