Search a number
-
+
12114234 = 23211175961
BaseRepresentation
bin101110001101…
…100100111010
3211210110121100
4232031210322
511100123414
61111352230
7204653316
oct56154472
924713540
1012114234
116924670
124082676
132681cb2
141874b46
1510e4609
hexb8d93a

12114234 has 96 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 3340800.

The previous prime is 12114227. The next prime is 12114241. The reversal of 12114234 is 43241121.

It is an interprime number because it is at equal distance from previous prime (12114227) and next prime (12114241).

It is a super-3 number, since 3×121142343 (a number of 22 digits) contains 333 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198564 + ... + 198624.

It is an arithmetic number, because the mean of its divisors is an integer number (326430).

Almost surely, 212114234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

12114234 is an abundant number, since it is smaller than the sum of its proper divisors (19223046).

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

12114234 is a wasteful number, since it uses less digits than its factorization.

12114234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12114234 is about 3480.5508184769. The cubic root of 12114234 is about 229.6670292182.

Adding to 12114234 its reverse (43241121), we get a palindrome (55355355).

It can be divided in two parts, 1211 and 4234, that added together give a palindrome (5445).

The spelling of 12114234 in words is "twelve million, one hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 59 61 66 99 102 118 122 153 177 183 187 198 306 354 366 374 531 549 561 649 671 1003 1037 1062 1098 1122 1298 1342 1683 1947 2006 2013 2074 3009 3111 3366 3599 3894 4026 5841 6018 6039 6222 7198 9027 9333 10797 11033 11407 11682 12078 18054 18666 21594 22066 22814 32391 33099 34221 39589 61183 64782 66198 68442 79178 99297 102663 118767 122366 183549 198594 205326 237534 356301 367098 550647 673013 712602 1101294 1346026 2019039 4038078 6057117 12114234