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230508241768 = 23725924474073
BaseRepresentation
bin1101011010101101011…
…1001010001101101000
3211000222111220221111201
43112223113022031220
512234040102214033
6253521035333544
722440131504200
oct3265327121550
9730874827451
10230508241768
1189837990852
12388108b12b4
1318976a9383c
14b229c29400
155ee19e347d
hex35ab5ca368

230508241768 has 96 divisors (see below), whose sum is σ = 511622697600. Its totient is φ = 97051331328.

The previous prime is 230508241721. The next prime is 230508241771. The reversal of 230508241768 is 867142805032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56592180 + ... + 56596252.

It is an arithmetic number, because the mean of its divisors is an integer number (5329403100).

Almost surely, 2230508241768 is an apocalyptic number.

230508241768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230508241768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255811348800).

230508241768 is an abundant number, since it is smaller than the sum of its proper divisors (281114455832).

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

230508241768 is a wasteful number, since it uses less digits than its factorization.

230508241768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6599 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 230508241768 in words is "two hundred thirty billion, five hundred eight million, two hundred forty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 392 413 472 826 1652 2447 2891 3304 4073 4894 5782 8146 9788 11564 16292 17129 19576 23128 28511 32584 34258 57022 68516 114044 119903 137032 144373 199577 228088 239806 240307 288746 399154 479612 480614 577492 798308 959224 961228 1010611 1154984 1596616 1682149 1922456 2021222 3364298 4042444 6728596 7074277 8084888 9966631 11775043 13457192 14148554 19933262 23550086 28297108 39866524 47100172 56594216 69766417 79733048 94200344 139532834 279065668 488364919 558131336 588031229 976729838 1176062458 1953459676 2352124916 3906919352 4116218603 4704249832 8232437206 16464874412 28813530221 32929748824 57627060442 115254120884 230508241768