Search a number
-
+
12230000432 = 2413127653709
BaseRepresentation
bin10110110001111011…
…01111111100110000
31011120022220101121222
423120331233330300
5200021340003212
65341323204212
7612033200636
oct133075577460
934508811558
1012230000432
115206575381
122453976668
1311cb9c4060
148403ad356
154b8a53c72
hex2d8f6ff30

12230000432 has 80 divisors (see below), whose sum is σ = 25795015680. Its totient is φ = 5583707136.

The previous prime is 12230000429. The next prime is 12230000441. The reversal of 12230000432 is 23400003221.

It is a self number, because there is not a number n which added to its sum of digits gives 12230000432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17249294 + ... + 17250002.

It is an arithmetic number, because the mean of its divisors is an integer number (322437696).

Almost surely, 212230000432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897507840).

12230000432 is an abundant number, since it is smaller than the sum of its proper divisors (13565015248).

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

12230000432 is a wasteful number, since it uses less digits than its factorization.

12230000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12230000432 its reverse (23400003221), we get a palindrome (35630003653).

The spelling of 12230000432 in words is "twelve billion, two hundred thirty million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 127 208 254 508 653 709 1016 1306 1418 1651 2032 2612 2836 3302 5224 5672 6604 8489 9217 10448 11344 13208 16978 18434 26416 33956 36868 67912 73736 82931 90043 135824 147472 165862 180086 331724 360172 462977 663448 720344 925954 1078103 1170559 1326896 1440688 1851908 2156206 2341118 3703816 4312412 4682236 6018701 7407632 8624824 9364472 12037402 17249648 18728944 24074804 48149608 58798079 96299216 117596158 235192316 470384632 764375027 940769264 1528750054 3057500108 6115000216 12230000432