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22201222221 = 323721801901
BaseRepresentation
bin10100101011010010…
…111100010001001101
32010022020111221110200
4110223102330101031
5330432003102341
614111001124113
71414111163253
oct245322742115
963266457420
1022201222221
119463013942
124377189639
13212a7466a9
1411087a05d3
1589e129db6
hex52b4bc44d

22201222221 has 18 divisors (see below), whose sum is σ = 32958589482. Its totient is φ = 14400784800.

The previous prime is 22201222217. The next prime is 22201222237. The reversal of 22201222221 is 12222210222.

22201222221 is a `hidden beast` number, since 2 + 220 + 1 + 222 + 221 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12263126121 + 9938096100 = 110739^2 + 99690^2 .

It is not a de Polignac number, because 22201222221 - 22 = 22201222217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22201222194 and 22201222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201222321) 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 17 ways as a sum of consecutive naturals, for example, 888630 + ... + 913271.

It is an arithmetic number, because the mean of its divisors is an integer number (1831032749).

Almost surely, 222201222221 is an apocalyptic number.

It is an amenable number.

22201222221 is a deficient number, since it is larger than the sum of its proper divisors (10757367261).

22201222221 is a wasteful number, since it uses less digits than its factorization.

22201222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801981 (or 1801941 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22201222221 its reverse (12222210222), we get a palindrome (34423432443).

The spelling of 22201222221 in words is "twenty-two billion, two hundred one million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 1369 4107 12321 1801901 5405703 16217109 66670337 200011011 600033033 2466802469 7400407407 22201222221