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12195150 = 23521119389
BaseRepresentation
bin101110100001…
…010101001110
3211221120121020
4232201111032
511110221100
61113215010
7205441242
oct56412516
924846536
1012195150
11697a440
124101466
1326aca86
141896422
15110d5a0
hexba154e

12195150 has 96 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 2793600.

The previous prime is 12195149. The next prime is 12195179. The reversal of 12195150 is 5159121.

12195150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12195150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31156 + ... + 31544.

It is an arithmetic number, because the mean of its divisors is an integer number (362700).

Almost surely, 212195150 is an apocalyptic number.

12195150 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 12195150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

12195150 is an abundant number, since it is smaller than the sum of its proper divisors (22624050).

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

12195150 is a wasteful number, since it uses less digits than its factorization.

12195150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 12195150 is about 3492.1554948198. The cubic root of 12195150 is about 230.1772420810.

The spelling of 12195150 in words is "twelve million, one hundred ninety-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 114 150 165 190 209 275 285 330 389 418 475 550 570 627 778 825 950 1045 1167 1254 1425 1650 1945 2090 2334 2850 3135 3890 4279 5225 5835 6270 7391 8558 9725 10450 11670 12837 14782 15675 19450 21395 22173 25674 29175 31350 36955 42790 44346 58350 64185 73910 81301 106975 110865 128370 162602 184775 213950 221730 243903 320925 369550 406505 487806 554325 641850 813010 1108650 1219515 2032525 2439030 4065050 6097575 12195150