Search a number
-
+
230425057647 = 32192924773467
BaseRepresentation
bin1101011010011001100…
…1110101100101101111
3211000202201101202100100
43112212121311211233
512233402303321042
6253504504402143
722435101446661
oct3264631654557
9730681352310
10230425057647
11897a4a35344
12387a8a76353
131896278a075
14b21cb74531
155ed956124c
hex35a667596f

230425057647 has 144 divisors (see below), whose sum is σ = 376452610560. Its totient is φ = 135349304832.

The previous prime is 230425057619. The next prime is 230425057649. The reversal of 230425057647 is 746750524032.

230425057647 is a `hidden beast` number, since 2 + 30 + 4 + 2 + 5 + 0 + 576 + 47 = 666.

It is not a de Polignac number, because 230425057647 - 27 = 230425057519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230425057649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 493415308 + ... + 493415774.

It is an arithmetic number, because the mean of its divisors is an integer number (2614254240).

Almost surely, 2230425057647 is an apocalyptic number.

230425057647 is a deficient number, since it is larger than the sum of its proper divisors (146027552913).

230425057647 is a wasteful number, since it uses less digits than its factorization.

230425057647 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 230425057647 in words is "two hundred thirty billion, four hundred twenty-five million, fifty-seven thousand, six hundred forty-seven".

Divisors: 1 3 9 19 29 47 57 73 87 141 171 219 261 423 467 551 657 841 893 1363 1387 1401 1653 2117 2523 2679 3431 4089 4161 4203 4959 6351 7569 8037 8873 10293 12267 12483 13543 15979 19053 21949 25897 26619 30879 34091 39527 40223 40629 47937 61393 65189 65847 77691 79857 99499 102273 118581 120669 121887 143811 184179 195567 197541 233073 257317 298497 306819 355743 362007 392747 417031 552537 586701 636521 647729 751013 771951 895491 988639 1166467 1178241 1251093 1602277 1890481 1909563 1943187 2253039 2315853 2885471 2965917 3499401 3534723 3753279 4806831 5671443 5728689 5829561 6759117 7462193 8656413 8897751 10498203 12093899 14420493 17014329 18459109 18784141 22386579 25969239 28670531 30443263 36281697 46466033 54823949 55377327 56352423 67159737 86011593 91329789 108845091 139398099 164471847 166131981 169057269 258034779 273989367 350723071 418194297 493415541 544740089 882854627 1052169213 1347514957 1634220267 2648563881 3156507639 4042544871 4902660801 7945691643 12127634613 25602784183 76808352549 230425057647