Search a number
-
+
230865864515120 = 24519426773558953
BaseRepresentation
bin110100011111100010100101…
…110110000101111000110000
31010021102120011001011121011002
4310133202211312011320300
5220230001242303440440
62135002151454141132
766425336224655342
oct6437424566057060
91107376131147132
10230865864515120
116761973294916a
1221a87426ab17a8
139ba87330b4563
144101d78a0b292
151ba553e682115
hexd1f8a5d85e30

230865864515120 has 80 divisors (see below), whose sum is σ = 565027224380640. Its totient is φ = 87483937277952.

The previous prime is 230865864515081. The next prime is 230865864515129. The reversal of 230865864515120 is 21515468568032.

It is a happy number.

230865864515120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2308658645151202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230865864515129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63089564 + ... + 66648516.

It is an arithmetic number, because the mean of its divisors is an integer number (7062840304758).

Almost surely, 2230865864515120 is an apocalyptic number.

230865864515120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230865864515120 is an abundant number, since it is smaller than the sum of its proper divisors (334161359865520).

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

230865864515120 is a wasteful number, since it uses less digits than its factorization.

230865864515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601662 (or 3601656 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 56.

The spelling of 230865864515120 in words is "two hundred thirty trillion, eight hundred sixty-five billion, eight hundred sixty-four million, five hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 42677 85354 170708 213385 341416 426770 682832 810863 853540 1621726 1707080 3243452 3414160 3558953 4054315 6486904 7117906 8108630 12973808 14235812 16217260 17794765 28471624 32434520 35589530 56943248 64869040 67620107 71179060 135240214 142358120 270480428 284716240 338100535 540960856 676201070 1081921712 1352402140 2704804280 5409608560 151885437181 303770874362 607541748724 759427185905 1215083497448 1518854371810 2430166994896 2885823306439 3037708743620 5771646612878 6075417487240 11543293225756 12150834974480 14429116532195 23086586451512 28858233064390 46173172903024 57716466128780 115432932257560 230865864515120