Search a number
-
+
230313030322014 = 232179907272928879
BaseRepresentation
bin110100010111011111101110…
…010111000000011101011110
31010012110201012002002210020200
4310113133232113000131132
5220141422041230301024
62133500202342524330
766340365410603403
oct6427375627003536
91105421162083220
10230313030322014
1167426231406472
12219b825ba366a6
139b6856bc87133
1440c32d28d22aa
151b95e854682c9
hexd177ee5c075e

230313030322014 has 96 divisors (see below), whose sum is σ = 502554072384000. Its totient is φ = 76227368671872.

The previous prime is 230313030322013. The next prime is 230313030322051. The reversal of 230313030322014 is 410223030313032.

230313030322014 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 130 + 303 + 220 + 1 + 4 = 666.

It is a super-2 number, since 2×2303130303220142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230313030322013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7975089627 + ... + 7975118505.

It is an arithmetic number, because the mean of its divisors is an integer number (5234938254000).

Almost surely, 2230313030322014 is an apocalyptic number.

230313030322014 is an abundant number, since it is smaller than the sum of its proper divisors (272241042061986).

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

230313030322014 is a wasteful number, since it uses less digits than its factorization.

230313030322014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32702 (or 32699 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230313030322014 its reverse (410223030313032), we get a palindrome (640536060635046).

The spelling of 230313030322014 in words is "two hundred thirty trillion, three hundred thirteen billion, thirty million, three hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 179 358 537 907 1074 1611 1814 2721 2729 3222 5442 5458 8163 8187 16326 16374 24561 28879 49122 57758 86637 162353 173274 259911 324706 487059 488491 519822 974118 976982 1461177 1465473 2475203 2922354 2930946 4396419 4950406 5169341 7425609 8792838 10338682 14851218 15508023 22276827 26193253 31016046 44553654 46524069 52386506 78579759 78810791 93048138 157159518 157621582 235739277 236432373 443061337 471478554 472864746 709297119 886122674 1329184011 1418594238 2658368022 3987552033 4688592287 7975104066 9377184574 14065776861 14107131589 28131553722 28214263178 42197330583 42321394767 71481387437 84394661166 84642789534 126964184301 142962774874 214444162311 253928368602 428888324622 643332486933 1286664973866 12795168351223 25590336702446 38385505053669 76771010107338 115156515161007 230313030322014