Base | Representation |
---|---|
bin | 11010100111001… |
… | …00000011000001 |
3 | 120120001101000000 |
4 | 31103210003001 |
5 | 424121412233 |
6 | 34052350213 |
7 | 5350304502 |
oct | 1523440301 |
9 | 516041000 |
10 | 223232193 |
11 | 105010718 |
12 | 62915369 |
13 | 3732c972 |
14 | 2190cba9 |
15 | 148e7d13 |
hex | d4e40c1 |
223232193 has 28 divisors (see below), whose sum is σ = 337256080. Its totient is φ = 147683736.
The previous prime is 223232183. The next prime is 223232201. The reversal of 223232193 is 391232322.
It is not a de Polignac number, because 223232193 - 29 = 223231681 is a prime.
It is a super-3 number, since 3×2232321933 (a number of 26 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 (27).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (223232183) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 100230 + ... + 102432.
It is an arithmetic number, because the mean of its divisors is an integer number (12044860).
Almost surely, 2223232193 is an apocalyptic number.
It is an amenable number.
223232193 is a deficient number, since it is larger than the sum of its proper divisors (114023887).
223232193 is an equidigital number, since it uses as much as digits as its factorization.
223232193 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2360 (or 2345 counting only the distinct ones).
The product of its digits is 3888, while the sum is 27.
The square root of 223232193 is about 14940.9568970665. The cubic root of 223232193 is about 606.6230969730.
The spelling of 223232193 in words is "two hundred twenty-three million, two hundred thirty-two thousand, one hundred ninety-three".
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