Search a number
-
+
233201233221 = 31137190992001
BaseRepresentation
bin1101100100101111100…
…0000110110101000101
3211021221012021002021220
43121023320012311011
512310044003430341
6255044155430553
722563641530215
oct3311370066505
9737835232256
10233201233221
118a99a020120
1239242755459
1318cb59951c8
14b403756245
1560ed141a66
hex364be06d45

233201233221 has 16 divisors (see below), whose sum is σ = 348369411648. Its totient is φ = 137514240000.

The previous prime is 233201233189. The next prime is 233201233267. The reversal of 233201233221 is 122332102332.

233201233221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233201233221 - 25 = 233201233189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233201233191 and 233201233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233201232221) 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 15 ways as a sum of consecutive naturals, for example, 95494780 + ... + 95497221.

It is an arithmetic number, because the mean of its divisors is an integer number (21773088228).

Almost surely, 2233201233221 is an apocalyptic number.

It is an amenable number.

233201233221 is a deficient number, since it is larger than the sum of its proper divisors (115168178427).

233201233221 is a wasteful number, since it uses less digits than its factorization.

233201233221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190992052.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233201233221 its reverse (122332102332), we get a palindrome (355533335553).

The spelling of 233201233221 in words is "two hundred thirty-three billion, two hundred one million, two hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 11 33 37 111 407 1221 190992001 572976003 2100912011 6302736033 7066704037 21200112111 77733744407 233201233221