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230065705968 = 2437684719363
BaseRepresentation
bin1101011001000011111…
…1000001001111110000
3210222211200012210111220
43112100333001033300
512232133310042333
6253405110305040
722423146143310
oct3262077011760
9728750183456
10230065705968
118963010308a
1238708658180
13189061ab437
14b1c7151440
155eb7c2b8b3
hex3590fc13f0

230065705968 has 40 divisors (see below), whose sum is σ = 679241609088. Its totient is φ = 65733058752.

The previous prime is 230065705967. The next prime is 230065705999. The reversal of 230065705968 is 869507560032.

It is a happy number.

230065705968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230065705968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230065705967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342359346 + ... + 342360017.

Almost surely, 2230065705968 is an apocalyptic number.

230065705968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230065705968 is an abundant number, since it is smaller than the sum of its proper divisors (449175903120).

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

230065705968 is a wasteful number, since it uses less digits than its factorization.

230065705968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684719381 (or 684719375 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 230065705968 in words is "two hundred thirty billion, sixty-five million, seven hundred five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 684719363 1369438726 2054158089 2738877452 4108316178 4793035541 5477754904 8216632356 9586071082 10955509808 14379106623 16433264712 19172142164 28758213246 32866529424 38344284328 57516426492 76688568656 115032852984 230065705968