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230985375792 = 243711031096037
BaseRepresentation
bin1101011100011111001…
…1010010000000110000
3211002012202201212100020
43113013303102000300
512241024224011132
6254040242123440
722455014204403
oct3270763220060
9732182655306
10230985375792
1189a6224a696
1238924650580
1318a218a0b72
14b27334bd3a
15601d84152c
hex35c7cd2030

230985375792 has 160 divisors (see below), whose sum is σ = 616699100160. Its totient is φ = 74471685120.

The previous prime is 230985375791. The next prime is 230985375793. The reversal of 230985375792 is 297573589032.

It is an interprime number because it is at equal distance from previous prime (230985375791) and next prime (230985375793).

It is not an unprimeable number, because it can be changed into a prime (230985375791) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38258598 + ... + 38264634.

It is an arithmetic number, because the mean of its divisors is an integer number (3854369376).

Almost surely, 2230985375792 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 230985375792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308349550080).

230985375792 is an abundant number, since it is smaller than the sum of its proper divisors (385713724368).

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

230985375792 is a wasteful number, since it uses less digits than its factorization.

230985375792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 230985375792 in words is "two hundred thirty billion, nine hundred eighty-five million, three hundred seventy-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 103 109 142 206 213 218 284 309 327 412 426 436 568 618 654 824 852 872 1136 1236 1308 1648 1704 1744 2472 2616 3408 4944 5232 6037 7313 7739 11227 12074 14626 15478 18111 21939 22454 23217 24148 29252 30956 33681 36222 43878 44908 46434 48296 58504 61912 67362 72444 87756 89816 92868 96592 117008 123824 134724 144888 175512 179632 185736 269448 289776 351024 371472 428627 538896 621811 658033 797117 857254 1243622 1285881 1316066 1594234 1714508 1865433 1974099 2391351 2487244 2571762 2632132 3188468 3429016 3730866 3948198 4782702 4974488 5143524 5264264 6376936 6858032 7461732 7896396 9565404 9948976 10287048 10528528 12753872 14923464 15792792 19130808 20574096 29846928 31585584 38261616 44148581 46720343 67777399 88297162 93440686 132445743 135554798 140161029 176594324 186881372 203332197 264891486 271109596 280322058 353188648 373762744 406664394 529782972 542219192 560644116 706377296 747525488 813328788 1059565944 1084438384 1121288232 1626657576 2119131888 2242576464 3253315152 4812195329 9624390658 14436585987 19248781316 28873171974 38497562632 57746343948 76995125264 115492687896 230985375792