Base | Representation |
---|---|
bin | 1100111111100100000… |
… | …0111011011010001101 |
3 | 210100011122212220022102 |
4 | 3033321000323122031 |
5 | 12124124100232341 |
6 | 250314002524445 |
7 | 22061425030325 |
oct | 3177100733215 |
9 | 710148786272 |
10 | 223221102221 |
11 | 86738546a77 |
12 | 37318366725 |
13 | 18085143650 |
14 | ab380c6285 |
15 | 5c16daac9b |
hex | 33f903b68d |
223221102221 has 4 divisors (see below), whose sum is σ = 240391956252. Its totient is φ = 206050248192.
The previous prime is 223221102211. The next prime is 223221102239. The reversal of 223221102221 is 122201122322.
It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 122201122322 = 2 ⋅61100561161.
It can be written as a sum of positive squares in 2 ways, for example, as 21607530025 + 201613572196 = 146995^2 + 449014^2 .
It is a cyclic number.
It is not a de Polignac number, because 223221102221 - 214 = 223221085837 is a prime.
It is a super-3 number, since 3×2232211022213 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 223221102193 and 223221102202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223221102211) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8585426996 + ... + 8585427021.
It is an arithmetic number, because the mean of its divisors is an integer number (60097989063).
Almost surely, 2223221102221 is an apocalyptic number.
It is an amenable number.
223221102221 is a deficient number, since it is larger than the sum of its proper divisors (17170854031).
223221102221 is a wasteful number, since it uses less digits than its factorization.
223221102221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17170854030.
The product of its (nonzero) digits is 384, while the sum is 20.
Adding to 223221102221 its reverse (122201122322), we get a palindrome (345422224543).
The spelling of 223221102221 in words is "two hundred twenty-three billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty-one".
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