Search a number
-
+
12203136 = 273411107
BaseRepresentation
bin101110100011…
…010010000000
3211221222120000
4232203102000
511111000021
61113320000
7205503441
oct56432200
924858500
1012203136
116985440
124106000
1326b35ba
1418992c8
151110b26
hexba3480

12203136 has 160 divisors (see below), whose sum is σ = 39988080. Its totient is φ = 3663360.

The previous prime is 12203089. The next prime is 12203137. The reversal of 12203136 is 63130221.

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

It is not an unprimeable number, because it can be changed into a prime (12203137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113995 + ... + 114101.

Almost surely, 212203136 is an apocalyptic number.

12203136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19994040).

12203136 is an abundant number, since it is smaller than the sum of its proper divisors (27784944).

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

12203136 is a wasteful number, since it uses less digits than its factorization.

12203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12203136 is about 3493.2987275640. The cubic root of 12203136 is about 230.2274750111.

Adding to 12203136 its reverse (63130221), we get a palindrome (75333357).

It can be divided in two parts, 1220 and 3136, that added together give a square (4356 = 662).

The spelling of 12203136 in words is "twelve million, two hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 107 108 128 132 144 162 176 192 198 214 216 264 288 297 321 324 352 384 396 428 432 528 576 594 642 648 704 792 856 864 891 963 1056 1152 1177 1188 1284 1296 1408 1584 1712 1728 1782 1926 2112 2354 2376 2568 2592 2889 3168 3424 3456 3531 3564 3852 4224 4708 4752 5136 5184 5778 6336 6848 7062 7128 7704 8667 9416 9504 10272 10368 10593 11556 12672 13696 14124 14256 15408 17334 18832 19008 20544 21186 23112 28248 28512 30816 31779 34668 37664 38016 41088 42372 46224 56496 57024 61632 63558 69336 75328 84744 92448 95337 112992 114048 123264 127116 138672 150656 169488 184896 190674 225984 254232 277344 338976 369792 381348 451968 508464 554688 677952 762696 1016928 1109376 1355904 1525392 2033856 3050784 4067712 6101568 12203136