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22120222221 = 322689914021
BaseRepresentation
bin10100100110011101…
…111100111000001101
32010002121002201100200
4110212131330320031
5330300234102341
614054545044113
71412105533536
oct244635747015
963077081320
1022120222221
11942131a399
124354026639
132116a260b6
1410dbb1768d
15896e79db6
hex52677ce0d

22120222221 has 12 divisors (see below), whose sum is σ = 31963349340. Its totient is φ = 14741314560.

The previous prime is 22120222211. The next prime is 22120222321. The reversal of 22120222221 is 12222202122.

22120222221 is a `hidden beast` number, since 221 + 2 + 0 + 222 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6497972100 + 15622250121 = 80610^2 + 124989^2 .

It is not a de Polignac number, because 22120222221 - 215 = 22120189453 is a prime.

It is a super-2 number, since 2×221202222212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22120222194 and 22120222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120222211) 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 11 ways as a sum of consecutive naturals, for example, 432810 + ... + 481211.

It is an arithmetic number, because the mean of its divisors is an integer number (2663612445).

Almost surely, 222120222221 is an apocalyptic number.

It is an amenable number.

22120222221 is a deficient number, since it is larger than the sum of its proper divisors (9843127119).

22120222221 is a wasteful number, since it uses less digits than its factorization.

22120222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916716 (or 916713 counting only the distinct ones).

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

Adding to 22120222221 its reverse (12222202122), we get a palindrome (34342424343).

The spelling of 22120222221 in words is "twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 2689 8067 24201 914021 2742063 8226189 2457802469 7373407407 22120222221