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12055230 = 235511241
BaseRepresentation
bin101101111111…
…001010111110
3211200110200000
4231333022332
511041231410
61110215130
7204316305
oct55771276
924613600
1012055230
116894300
1240544a6
132661195
14185b43c
1510d1dc0
hexb7f2be

12055230 has 144 divisors (see below), whose sum is σ = 36599472. Its totient is φ = 2851200.

The previous prime is 12055207. The next prime is 12055231. The reversal of 12055230 is 3255021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12055231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 294010 + ... + 294050.

It is an arithmetic number, because the mean of its divisors is an integer number (254163).

Almost surely, 212055230 is an apocalyptic number.

12055230 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 12055230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18299736).

12055230 is an abundant number, since it is smaller than the sum of its proper divisors (24544242).

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

12055230 is a wasteful number, since it uses less digits than its factorization.

12055230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 12055230 is about 3472.0642275165. The cubic root of 12055230 is about 229.2935475157.

The spelling of 12055230 in words is "twelve million, fifty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 41 45 54 55 66 81 82 90 99 110 121 123 135 162 165 198 205 242 243 246 270 297 330 363 369 405 410 451 486 495 594 605 615 726 738 810 891 902 990 1089 1107 1210 1215 1230 1353 1485 1782 1815 1845 2178 2214 2255 2430 2673 2706 2970 3267 3321 3630 3690 4059 4455 4510 4961 5346 5445 5535 6534 6642 6765 8118 8910 9801 9922 9963 10890 11070 12177 13365 13530 14883 16335 16605 19602 19926 20295 24354 24805 26730 29403 29766 32670 33210 36531 40590 44649 49005 49610 49815 58806 60885 73062 74415 89298 98010 99630 109593 121770 133947 147015 148830 182655 219186 223245 267894 294030 365310 401841 446490 547965 669735 803682 1095930 1205523 1339470 2009205 2411046 4018410 6027615 12055230