Search a number
-
+
12271194 = 232132292
BaseRepresentation
bin101110110011…
…111001011010
3212002102220200
4232303321122
511120134234
61115003030
7206206035
oct56637132
925072820
1012271194
116a21591
124139476
132708580
1418b601c
151125d99
hexbb3e5a

12271194 has 36 divisors (see below), whose sum is σ = 28758366. Its totient is φ = 3759264.

The previous prime is 12271159. The next prime is 12271199. The reversal of 12271194 is 49117221.

It can be written as a sum of positive squares in 3 ways, for example, as 12215025 + 56169 = 3495^2 + 237^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12271199) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53472 + ... + 53700.

Almost surely, 212271194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12271194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379183).

12271194 is an abundant number, since it is smaller than the sum of its proper divisors (16487172).

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

12271194 is a wasteful number, since it uses less digits than its factorization.

12271194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 247 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12271194 is about 3503.0264058382. The cubic root of 12271194 is about 230.6546816624.

The spelling of 12271194 in words is "twelve million, two hundred seventy-one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 229 234 458 687 1374 2061 2977 4122 5954 8931 17862 26793 52441 53586 104882 157323 314646 471969 681733 943938 1363466 2045199 4090398 6135597 12271194