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212343224205 = 35729139501691
BaseRepresentation
bin1100010111000010100…
…1000111011110001101
3202022002120020102221110
43011300221013132031
511434334331133310
6241314340122233
721225030424260
oct3056051073615
9668076212843
10212343224205
118206623a242
12351a1396379
1317040606a38
14a3c5524cd7
1557cbde0d20
hex3170a4778d

212343224205 has 64 divisors (see below), whose sum is σ = 404564428800. Its totient is φ = 93049447680.

The previous prime is 212343224179. The next prime is 212343224209. The reversal of 212343224205 is 502422343212.

212343224205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212343224205 - 26 = 212343224141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212343224209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172410 + ... + 674100.

It is an arithmetic number, because the mean of its divisors is an integer number (6321319200).

Almost surely, 2212343224205 is an apocalyptic number.

It is an amenable number.

212343224205 is a deficient number, since it is larger than the sum of its proper divisors (192221204595).

212343224205 is a wasteful number, since it uses less digits than its factorization.

212343224205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501874.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 212343224205 its reverse (502422343212), we get a palindrome (714765567417).

The spelling of 212343224205 in words is "two hundred twelve billion, three hundred forty-three million, two hundred twenty-four thousand, two hundred five".

Divisors: 1 3 5 7 15 21 29 35 87 105 139 145 203 417 435 609 695 973 1015 2085 2919 3045 4031 4865 12093 14595 20155 28217 60465 84651 141085 423255 501691 1505073 2508455 3511837 7525365 10535511 14549039 17559185 43647117 52677555 69735049 72745195 101843273 209205147 218235585 305529819 348675245 488145343 509216365 1046025735 1464436029 1527649095 2022316421 2440726715 6066949263 7322180145 10111582105 14156214947 30334746315 42468644841 70781074735 212343224205