Search a number
-
+
221001011220220 = 225721120501021449
BaseRepresentation
bin110010001111111111001110…
…110001001100111011111100
31001222111111020110022022001221
4302033333032301030323330
5212431340032333021340
62102010244000043124
764356540036330400
oct6217771661147374
91058444213268057
10221001011220220
1164466003392a70
12209535876034a4
1396413c91a66ba
143c80712717100
151a83b2433744a
hexc8ffcec4cefc

221001011220220 has 72 divisors (see below), whose sum is σ = 588953344215600. Its totient is φ = 68883432065280.

The previous prime is 221001011220217. The next prime is 221001011220239. The reversal of 221001011220220 is 22022110100122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221001011220194 and 221001011220203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10250499945 + ... + 10250521504.

It is an arithmetic number, because the mean of its divisors is an integer number (8179907558550).

Almost surely, 2221001011220220 is an apocalyptic number.

221001011220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221001011220220 is an abundant number, since it is smaller than the sum of its proper divisors (367952332995380).

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

221001011220220 is a wasteful number, since it uses less digits than its factorization.

221001011220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20501021483 (or 20501021474 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221001011220220 its reverse (22022110100122), we get a palindrome (243023121320342).

The spelling of 221001011220220 in words is "two hundred twenty-one trillion, one billion, eleven million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 20501021449 41002042898 82004085796 102505107245 143507150143 205010214490 225511235939 287014300286 410020428980 451022471878 574028600572 717535750715 902044943756 1004550051001 1127556179695 1435071501430 1578578651573 2009100102002 2255112359390 2870143002860 3157157303146 4018200204004 4510224718780 5022750255005 6314314606292 7892893257865 10045500510010 11050050561011 15785786515730 20091001020020 22100101122022 31571573031460 44200202244044 55250252805055 110500505610110 221001011220220