Search a number
-
+
231301230192 = 24328871810889
BaseRepresentation
bin1101011101101010100…
…0001010111001110000
3211010000210001221010100
43113122220022321300
512242201103331232
6254131444032400
722465601005614
oct3273250127160
9733023057110
10231301230192
118a10457278a
12389b2392700
1318a72160166
14b2a328b344
15603b432c7c
hex35daa0ae70

231301230192 has 60 divisors (see below), whose sum is σ = 648052338960. Its totient is φ = 77013444864.

The previous prime is 231301230191. The next prime is 231301230229. The reversal of 231301230192 is 291032103132.

231301230192 is a `hidden beast` number, since 231 + 30 + 12 + 301 + 92 = 666.

231301230192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231301230191) 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 11 ways as a sum of consecutive naturals, for example, 777717 + ... + 1033172.

It is an arithmetic number, because the mean of its divisors is an integer number (10800872316).

Almost surely, 2231301230192 is an apocalyptic number.

It is an amenable number.

231301230192 is an abundant number, since it is smaller than the sum of its proper divisors (416751108768).

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

231301230192 is a wasteful number, since it uses less digits than its factorization.

231301230192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811790 (or 1811781 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 231301230192 in words is "two hundred thirty-one billion, three hundred one million, two hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 887 1774 2661 3548 5322 7096 7983 10644 14192 15966 21288 31932 42576 63864 127728 1810889 3621778 5432667 7243556 10865334 14487112 16298001 21730668 28974224 32596002 43461336 65192004 86922672 130384008 260768016 1606258543 3212517086 4818775629 6425034172 9637551258 12850068344 14456326887 19275102516 25700136688 28912653774 38550205032 57825307548 77100410064 115650615096 231301230192