Search a number
-
+
20220210220221 = 351111351666427
BaseRepresentation
bin1001001100011111000100…
…11100101000110010111101
32122121000220012211202100000
410212033202130220302331
510122241442304021341
6111001011503224513
74154601442014504
oct446174234506275
978530805752300
1020220210220221
116496385590880
12232698b5a8139
13b389b07029ab
144dc94050783b
15250e9274d8b6
hex1263e2728cbd

20220210220221 has 48 divisors (see below), whose sum is σ = 33045189585408. Its totient is φ = 12253574862000.

The previous prime is 20220210220201. The next prime is 20220210220237. The reversal of 20220210220221 is 12202201202202.

20220210220221 is a `hidden beast` number, since 2 + 0 + 220 + 2 + 1 + 0 + 220 + 221 = 666.

It is not a de Polignac number, because 20220210220221 - 215 = 20220210187453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20220210220194 and 20220210220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220210220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30008010 + ... + 30674436.

It is an arithmetic number, because the mean of its divisors is an integer number (688441449696).

Almost surely, 220220210220221 is an apocalyptic number.

It is an amenable number.

20220210220221 is a deficient number, since it is larger than the sum of its proper divisors (12824979365187).

20220210220221 is a wasteful number, since it uses less digits than its factorization.

20220210220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677804 (or 677792 counting only the distinct ones).

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

Adding to 20220210220221 its reverse (12202201202202), we get a palindrome (32422411422423).

The spelling of 20220210220221 in words is "twenty trillion, two hundred twenty billion, two hundred ten million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 11351 34053 102159 124861 306477 374583 666427 919431 1123749 1999281 2758293 3371247 5997843 7330697 10113741 17993529 21992091 30341223 53980587 65976273 161941761 197928819 593786457 1781359371 7564612877 22693838631 68081515893 83210741647 204244547679 249632224941 612733643037 748896674823 1838200929111 2246690024469 6740070073407 20220210220221