Base | Representation |
---|---|
bin | 110010110001101111111111… |
… | …101011000101111111101000 |
3 | 1002021201021211102002100110200 |
4 | 302301233333223011333220 |
5 | 213232343120143323334 |
6 | 2110544145315312200 |
7 | 65016263251043013 |
oct | 6261577753057750 |
9 | 1067637742070420 |
10 | 223321114042344 |
11 | 6517aa529a892a |
12 | 210691652ab660 |
13 | 977c124335496 |
14 | 3d20b2a11837a |
15 | 1ac41647a0799 |
hex | cb1bffac5fe8 |
223321114042344 has 48 divisors (see below), whose sum is σ = 605425083552900. Its totient is φ = 74366886257664.
The previous prime is 223321114042339. The next prime is 223321114042349. The reversal of 223321114042344 is 443240411123322.
223321114042344 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 2 + 1 + 11 + 404 + 234 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (223321114042339) and next prime (223321114042349).
It can be written as a sum of positive squares in 2 ways, for example, as 221955230978244 + 1365883064100 = 14898162^2 + 1168710^2 .
It is a super-2 number, since 2×2233211140423442 (a number of 29 digits) contains 22 as substring.
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 = 223321114042299 and 223321114042308.
It is not an unprimeable number, because it can be changed into a prime (223321114042349) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (31) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1530865929 + ... + 1531011800.
Almost surely, 2223321114042344 is an apocalyptic number.
223321114042344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
223321114042344 is an abundant number, since it is smaller than the sum of its proper divisors (382103969510556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223321114042344 is a wasteful number, since it uses less digits than its factorization.
223321114042344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3061878754 (or 3061878747 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
Adding to 223321114042344 its reverse (443240411123322), we get a palindrome (666561525165666).
The spelling of 223321114042344 in words is "two hundred twenty-three trillion, three hundred twenty-one billion, one hundred fourteen million, forty-two thousand, three hundred forty-four".
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