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12220208 = 24721113109
BaseRepresentation
bin101110100111…
…011100110000
3211222211222022
4232213130300
511112021313
61113531012
7205604300
oct56473460
924884868
1012220208
116997250
124113a68
1326bb2c0
1418a1600
151115c08
hexba7730

12220208 has 120 divisors (see below), whose sum is σ = 32654160. Its totient is φ = 4354560.

The previous prime is 12220193. The next prime is 12220217. The reversal of 12220208 is 80202221.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112058 + ... + 112166.

It is an arithmetic number, because the mean of its divisors is an integer number (272118).

Almost surely, 212220208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16327080).

12220208 is an abundant number, since it is smaller than the sum of its proper divisors (20433952).

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

12220208 is a wasteful number, since it uses less digits than its factorization.

12220208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 12220208 is about 3495.7414092006. The cubic root of 12220208 is about 230.3347865524.

Multiplying 12220208 by its sum of digits (17), we get a triangular number (207743536 = T20383).

Adding to 12220208 its reverse (80202221), we get a palindrome (92422429).

The spelling of 12220208 in words is "twelve million, two hundred twenty thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 109 112 143 154 176 182 196 208 218 286 308 364 392 436 539 572 616 637 728 763 784 872 1001 1078 1144 1199 1232 1274 1417 1456 1526 1744 2002 2156 2288 2398 2548 2834 3052 4004 4312 4796 5096 5341 5668 6104 7007 8008 8393 8624 9592 9919 10192 10682 11336 12208 14014 15587 16016 16786 19184 19838 21364 22672 28028 31174 33572 39676 42728 56056 58751 62348 67144 69433 79352 85456 109109 112112 117502 124696 134288 138866 158704 218218 235004 249392 277732 436436 470008 555464 763763 872872 940016 1110928 1527526 1745744 3055052 6110104 12220208