Base | Representation |
---|---|
bin | 11010100110010… |
… | …11110101100111 |
3 | 120112212022222100 |
4 | 31103023311213 |
5 | 424110224111 |
6 | 34050303143 |
7 | 5346412422 |
oct | 1523136547 |
9 | 515768870 |
10 | 223133031 |
11 | 104a53170 |
12 | 62887ab3 |
13 | 372c67a4 |
14 | 218c49b9 |
15 | 148c8756 |
hex | d4cbd67 |
223133031 has 24 divisors (see below), whose sum is σ = 354392064. Its totient is φ = 134159760.
The previous prime is 223133011. The next prime is 223133033. The reversal of 223133031 is 130331322.
It is not a de Polignac number, because 223133031 - 29 = 223132519 is a prime.
It is a super-3 number, since 3×2231330313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 223132995 and 223133013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223133033) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700 + ... + 21446.
It is an arithmetic number, because the mean of its divisors is an integer number (14766336).
Almost surely, 2223133031 is an apocalyptic number.
223133031 is a deficient number, since it is larger than the sum of its proper divisors (131259033).
223133031 is a wasteful number, since it uses less digits than its factorization.
223133031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17891 (or 17888 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 223133031 is about 14937.6380663075. The cubic root of 223133031 is about 606.5332609627.
Adding to 223133031 its reverse (130331322), we get a palindrome (353464353).
The spelling of 223133031 in words is "two hundred twenty-three million, one hundred thirty-three thousand, thirty-one".
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