Search a number
-
+
2221301220112 = 241322946634641
BaseRepresentation
bin100000010100101111110…
…111101100001100010000
321212100120022010122010201
4200110233313230030100
5242343211103020422
64420241322104544
7316324625560432
oct40245767541420
97770508118121
102221301220112
117870596a1a27
122ba60534b154
13131610a025b0
14797239b4652
153cbab54e727
hex2052fdec310

2221301220112 has 40 divisors (see below), whose sum is σ = 4655069964440. Its totient is φ = 1020739000320.

The previous prime is 2221301220071. The next prime is 2221301220133. The reversal of 2221301220112 is 2110221031222.

It can be written as a sum of positive squares in 4 ways, for example, as 706668884496 + 1514632335616 = 840636^2 + 1230704^2 .

It is a super-2 number, since 2×22213012201122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2221301220112.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23269689 + ... + 23364952.

It is an arithmetic number, because the mean of its divisors is an integer number (116376749111).

Almost surely, 22221301220112 is an apocalyptic number.

It is an amenable number.

2221301220112 is an abundant number, since it is smaller than the sum of its proper divisors (2433768744328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2221301220112 is a wasteful number, since it uses less digits than its factorization.

2221301220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46634891 (or 46634885 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2221301220112 its reverse (2110221031222), we get a palindrome (4331522251334).

The spelling of 2221301220112 in words is "two trillion, two hundred twenty-one billion, three hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 229 458 916 1832 2977 3664 5954 11908 23816 47632 46634641 93269282 186538564 373077128 606250333 746154256 1212500666 2425001332 4850002664 9700005328 10679332789 21358665578 42717331156 85434662312 138831326257 170869324624 277662652514 555325305028 1110650610056 2221301220112