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2222010211221 = 3217371527725693
BaseRepresentation
bin100000010101011010001…
…000010001101110010101
321212102101201020010002200
4200111122020101232111
5242401134103224341
64420435530155113
7316351325110053
oct40253210215625
97772351203080
102222010211221
11787392922499
122ba782882a99
131316c486c268
147978dc0d1d3
153cbed8eadb6
hex2055a211b95

2222010211221 has 48 divisors (see below), whose sum is σ = 3490580671344. Its totient is φ = 1356379748352.

The previous prime is 2222010211217. The next prime is 2222010211261. The reversal of 2222010211221 is 1221120102222.

It is a happy number.

2222010211221 is a `hidden beast` number, since 2 + 2 + 220 + 10 + 211 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 260595956196 + 1961414255025 = 510486^2 + 1400505^2 .

It is not a de Polignac number, because 2222010211221 - 22 = 2222010211217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2222010211194 and 2222010211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222010211261) 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 47 ways as a sum of consecutive naturals, for example, 86470251 + ... + 86495943.

It is an arithmetic number, because the mean of its divisors is an integer number (72720430653).

Almost surely, 22222010211221 is an apocalyptic number.

It is an amenable number.

2222010211221 is a deficient number, since it is larger than the sum of its proper divisors (1268570460123).

2222010211221 is a wasteful number, since it uses less digits than its factorization.

2222010211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41030 (or 41027 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2222010211221 its reverse (1221120102222), we get a palindrome (3443130313443).

The spelling of 2222010211221 in words is "two trillion, two hundred twenty-two billion, ten million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 15277 25693 45831 77079 137493 231237 259709 436781 565249 779127 950641 1310343 1695747 2337381 2851923 3931029 5087241 8555769 9609233 16160897 28827699 48482691 86483097 145448073 392511961 1177535883 3532607649 6672703337 14522942557 20018110011 43568827671 60054330033 130706483013 246890023469 740670070407 2222010211221