Base | Representation |
---|---|
bin | 100000001100010001100… |
… | …001010110010011011101 |
3 | 21211111002011120001122202 |
4 | 200030101201112103131 |
5 | 242221042220042341 |
6 | 4412134400421245 |
7 | 315553300461203 |
oct | 40142141262335 |
9 | 7744064501582 |
10 | 2212202112221 |
11 | 78320a469552 |
12 | 2b88a6017825 |
13 | 1307c086189a |
14 | 790dd361073 |
15 | 3c8277e779b |
hex | 203118564dd |
2212202112221 has 12 divisors (see below), whose sum is σ = 2350423730292. Its totient is φ = 2081685040128.
The previous prime is 2212202112181. The next prime is 2212202112227. The reversal of 2212202112221 is 1222112022122.
It can be written as a sum of positive squares in 6 ways, for example, as 1327078656121 + 885123456100 = 1151989^2 + 940810^2 .
It is not a de Polignac number, because 2212202112221 - 238 = 1937324205277 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 2212202112193 and 2212202112202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2212202112227) 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 11 ways as a sum of consecutive naturals, for example, 848891 + ... + 2268263.
It is an arithmetic number, because the mean of its divisors is an integer number (195868644191).
Almost surely, 22212202112221 is an apocalyptic number.
It is an amenable number.
2212202112221 is a deficient number, since it is larger than the sum of its proper divisors (138221618071).
2212202112221 is a wasteful number, since it uses less digits than its factorization.
2212202112221 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1424800 (or 1424783 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
Adding to 2212202112221 its reverse (1222112022122), we get a palindrome (3434314134343).
Subtracting from 2212202112221 its reverse (1222112022122), we obtain a palindrome (990090090099).
The spelling of 2212202112221 in words is "two trillion, two hundred twelve billion, two hundred two million, one hundred twelve thousand, two hundred twenty-one".
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