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230231892924 = 2232114383162901
BaseRepresentation
bin1101011001101011100…
…0111110001110111100
3211000021020220222011100
43112122320332032330
512233003331033144
6253433404253100
722430234541345
oct3263270761674
9730236828140
10230231892924
11897059a0880
1238754241190
1318931757007
14b2012510cc
155ec7607269
hex359ae3e3bc

230231892924 has 144 divisors (see below), whose sum is σ = 657477684864. Its totient is φ = 67323312000.

The previous prime is 230231892901. The next prime is 230231892953. The reversal of 230231892924 is 429298132032.

230231892924 is a `hidden beast` number, since 2 + 302 + 318 + 9 + 2 + 9 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230231892924.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1331874 + ... + 1494774.

It is an arithmetic number, because the mean of its divisors is an integer number (4565817256).

Almost surely, 2230231892924 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 230231892924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328738842432).

230231892924 is an abundant number, since it is smaller than the sum of its proper divisors (427245791940).

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

230231892924 is a wasteful number, since it uses less digits than its factorization.

230231892924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163048 (or 163043 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 230231892924 in words is "two hundred thirty billion, two hundred thirty-one million, eight hundred ninety-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 83 86 99 129 132 166 172 198 249 258 332 387 396 473 498 516 747 774 913 946 996 1419 1494 1548 1826 1892 2739 2838 2988 3569 3652 4257 5478 5676 7138 8217 8514 10707 10956 14276 16434 17028 21414 32121 32868 39259 42828 64242 78518 117777 128484 157036 162901 235554 325802 353331 471108 488703 651604 706662 977406 1413324 1466109 1791911 1954812 2932218 3583822 5375733 5864436 7004743 7167644 10751466 13520783 14009486 16127199 21014229 21502932 27041566 28018972 32254398 40562349 42028458 54083132 63042687 64508796 77052173 81124698 84056916 121687047 126085374 148728613 154104346 162249396 231156519 243374094 252170748 297457226 308208692 446185839 462313038 486748188 581393669 594914452 693469557 892371678 924626076 1162787338 1338557517 1386939114 1744181007 1784743356 2325574676 2677115034 2773878228 3488362014 5232543021 5354230068 6395330359 6976724028 10465086042 12790660718 19185991077 20930172084 25581321436 38371982154 57557973231 76743964308 115115946462 230231892924