Search a number
-
+
230241230322 = 23313735476067
BaseRepresentation
bin1101011001101101110…
…0100101110111110010
3211000021220111100122220
43112123130211313302
512233013223332242
6253434340341510
722430410111155
oct3263334456762
9730256440586
10230241230322
1189710199134
12387573a4896
13189336760bc
14b2025a1c9c
155ec834dbec
hex359b725df2

230241230322 has 64 divisors (see below), whose sum is σ = 477561114624. Its totient is φ = 73924643520.

The previous prime is 230241230309. The next prime is 230241230327. The reversal of 230241230322 is 223032142032.

230241230322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2302412303222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230241230292 and 230241230301.

It is not an unprimeable number, because it can be changed into a prime (230241230327) 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 31 ways as a sum of consecutive naturals, for example, 37946733 + ... + 37952799.

It is an arithmetic number, because the mean of its divisors is an integer number (7461892416).

Almost surely, 2230241230322 is an apocalyptic number.

230241230322 is an abundant number, since it is smaller than the sum of its proper divisors (247319884302).

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

230241230322 is a wasteful number, since it uses less digits than its factorization.

230241230322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7023.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230241230322 its reverse (223032142032), we get a palindrome (453273372354).

The spelling of 230241230322 in words is "two hundred thirty billion, two hundred forty-one million, two hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 31 62 93 186 373 547 746 1094 1119 1641 2238 3282 6067 11563 12134 16957 18201 23126 33914 34689 36402 50871 69378 101742 188077 204031 376154 408062 564231 612093 1128462 1224186 2262991 3318649 4525982 6324961 6637298 6788973 9955947 12649922 13577946 18974883 19911894 37949766 70152721 102878119 140305442 205756238 210458163 308634357 420916326 617268714 1237856077 2475712154 3713568231 7427136462 38373538387 76747076774 115120615161 230241230322