Base | Representation |
---|---|
bin | 110010100000011010111110… |
… | …011010110101101100000100 |
3 | 1002010111110011110110000201200 |
4 | 302200122332122311230010 |
5 | 213103340340202234340 |
6 | 2104233131315222500 |
7 | 64534246144653003 |
oct | 6240327632655404 |
9 | 1063443143400650 |
10 | 222130313321220 |
11 | 64860a33a43157 |
12 | 20ab64145a7a30 |
13 | 96c3a4c891a75 |
14 | 3cbd24367ac3a |
15 | 1aa31bc507330 |
hex | ca06be6b5b04 |
222130313321220 has 72 divisors (see below), whose sum is σ = 673796501455896. Its totient is φ = 59234643167232.
The previous prime is 222130313321149. The next prime is 222130313321227. The reversal of 222130313321220 is 22123313031222.
222130313321220 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 3 + 0 + 313 + 321 + 2 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 13944891929796 + 208185421391424 = 3734286^2 + 14428632^2 .
It is not an unprimeable number, because it can be changed into a prime (222130313321227) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182625394 + ... + 183837686.
It is an arithmetic number, because the mean of its divisors is an integer number (9358284742443).
Almost surely, 2222130313321220 is an apocalyptic number.
222130313321220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
222130313321220 is an abundant number, since it is smaller than the sum of its proper divisors (451666188134676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222130313321220 is a wasteful number, since it uses less digits than its factorization.
222130313321220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2230261 (or 2230256 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 222130313321220 its reverse (22123313031222), we get a palindrome (244253626352442).
The spelling of 222130313321220 in words is "two hundred twenty-two trillion, one hundred thirty billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred twenty".
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