Search a number
-
+
230332333232232 = 2332711411013322833
BaseRepresentation
bin110100010111110001101100…
…111001110001000001101000
31010012112120000022221020002100
4310113301230321301001220
5220142231104301412412
62133513114011133400
766341650636616520
oct6427615471610150
91105476008836070
10230332333232232
11674334373a3630
12219bbb48444260
139b6a3271011ba
1440c420439a680
151b96714dd8edc
hexd17c6ce71068

230332333232232 has 192 divisors, whose sum is σ = 796714945004160. Its totient is φ = 58367395123200.

The previous prime is 230332333232227. The next prime is 230332333232237. The reversal of 230332333232232 is 232232333233032.

230332333232232 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 323 + 3 + 3 + 2 + 322 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (230332333232227) and next prime (230332333232237).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230332333232237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506434113 + ... + 506888720.

It is an arithmetic number, because the mean of its divisors is an integer number (4149557005230).

Almost surely, 2230332333232232 is an apocalyptic number.

230332333232232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230332333232232 is an abundant number, since it is smaller than the sum of its proper divisors (566382611771928).

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

230332333232232 is a wasteful number, since it uses less digits than its factorization.

230332333232232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013322904 (or 1013322897 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 36.

Adding to 230332333232232 its reverse (232232333233032), we get a palindrome (462564666465264).

The spelling of 230332333232232 in words is "two hundred thirty trillion, three hundred thirty-two billion, three hundred thirty-three million, two hundred thirty-two thousand, two hundred thirty-two".