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12220110 = 23257217163
BaseRepresentation
bin101110100111…
…011011001110
3211222211211200
4232213123032
511112020420
61113530330
7205604100
oct56473316
924884750
1012220110
116997171
1241139a6
1326bb246
1418a1570
151115b90
hexba76ce

12220110 has 144 divisors (see below), whose sum is σ = 39373776. Its totient is φ = 2612736.

The previous prime is 12220081. The next prime is 12220111. The reversal of 12220110 is 1102221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12220092 and 12220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74889 + ... + 75051.

It is an arithmetic number, because the mean of its divisors is an integer number (273429).

Almost surely, 212220110 is an apocalyptic number.

12220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686888).

12220110 is an abundant number, since it is smaller than the sum of its proper divisors (27153666).

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

12220110 is a wasteful number, since it uses less digits than its factorization.

12220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12220110 is about 3495.7273921174. The cubic root of 12220110 is about 230.3341708273.

Adding to 12220110 its reverse (1102221), we get a palindrome (13322331).

The spelling of 12220110 in words is "twelve million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 163 170 210 238 245 255 294 306 315 326 357 441 489 490 510 595 630 714 735 765 815 833 882 978 1071 1141 1190 1467 1470 1530 1630 1666 1785 2142 2205 2282 2445 2499 2771 2934 3423 3570 4165 4410 4890 4998 5355 5542 5705 6846 7335 7497 7987 8313 8330 10269 10710 11410 12495 13855 14670 14994 15974 16626 17115 19397 20538 23961 24939 24990 27710 34230 37485 38794 39935 41565 47922 49878 51345 58191 71883 74970 79870 83130 96985 102690 116382 119805 124695 135779 143766 174573 193970 239610 249390 271558 290955 349146 359415 407337 581910 678895 718830 814674 872865 1222011 1357790 1745730 2036685 2444022 4073370 6110055 12220110