Search a number
-
+
12235050 = 235521953
BaseRepresentation
bin101110101011…
…000100101010
3212000121100000
4232223010222
511113010200
61114123430
7205665462
oct56530452
925017300
1012235050
1169a7413
124120576
1326c4c99
1418a6ba2
15111a300
hexbab12a

12235050 has 144 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 3032640.

The previous prime is 12235037. The next prime is 12235081. The reversal of 12235050 is 5053221.

It is a happy number.

12235050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230824 + ... + 230876.

It is an arithmetic number, because the mean of its divisors is an integer number (253890).

Almost surely, 212235050 is an apocalyptic number.

12235050 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 12235050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

12235050 is an abundant number, since it is smaller than the sum of its proper divisors (24325110).

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

12235050 is a wasteful number, since it uses less digits than its factorization.

12235050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

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

The square root of 12235050 is about 3497.8636337056. The cubic root of 12235050 is about 230.4279995269.

Adding to 12235050 its reverse (5053221), we get a palindrome (17288271).

The spelling of 12235050 in words is "twelve million, two hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 53 54 57 75 81 90 95 106 114 135 150 159 162 171 190 225 243 265 270 285 318 342 405 450 475 477 486 513 530 570 675 795 810 855 950 954 1007 1026 1215 1325 1350 1425 1431 1539 1590 1710 2014 2025 2385 2430 2565 2650 2850 2862 3021 3078 3975 4050 4275 4293 4617 4770 5035 5130 6042 6075 7155 7695 7950 8550 8586 9063 9234 10070 11925 12150 12825 12879 14310 15105 15390 18126 21465 23085 23850 25175 25650 25758 27189 30210 35775 38475 42930 45315 46170 50350 54378 64395 71550 75525 76950 81567 90630 107325 115425 128790 135945 151050 163134 214650 226575 230850 244701 271890 321975 407835 453150 489402 643950 679725 815670 1223505 1359450 2039175 2447010 4078350 6117525 12235050