Search a number
-
+
234147186 = 23472132269
BaseRepresentation
bin11011111010011…
…00110101110010
3121022120220120000
431331030311302
5434420202221
635122330430
75542134600
oct1575146562
9538526500
10234147186
11110196279
12664b9a16
1339681b40
1423150870
1515851e26
hexdf4cd72

234147186 has 120 divisors (see below), whose sum is σ = 657559980. Its totient is φ = 61725888.

The previous prime is 234147161. The next prime is 234147197. The reversal of 234147186 is 681741432.

It can be written as a sum of positive squares in 2 ways, for example, as 183467025 + 50680161 = 13545^2 + 7119^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 234147186.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 102060 + ... + 104328.

Almost surely, 2234147186 is an apocalyptic number.

234147186 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 234147186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328779990).

234147186 is an abundant number, since it is smaller than the sum of its proper divisors (423412794).

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

234147186 is a wasteful number, since it uses less digits than its factorization.

234147186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2294 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 234147186 is about 15301.8687094093. The cubic root of 234147186 is about 616.3531893302.

The spelling of 234147186 in words is "two hundred thirty-four million, one hundred forty-seven thousand, one hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 294 351 378 441 546 567 637 702 819 882 1053 1134 1274 1323 1638 1911 2106 2269 2457 2646 3822 3969 4538 4914 5733 6807 7371 7938 11466 13614 14742 15883 17199 20421 29497 31766 34398 40842 47649 51597 58994 61263 88491 95298 103194 111181 122526 142947 176982 183789 206479 222362 265473 285894 333543 367578 412958 428841 530946 619437 667086 796419 857682 1000629 1238874 1286523 1445353 1592838 1858311 2001258 2389257 2573046 2890706 3001887 3716622 4336059 4778514 5574933 6003774 8672118 9005661 11149866 13008177 16724799 18011322 26016354 33449598 39024531 78049062 117073593 234147186