Search a number
-
+
233150230455301 = 37167257146819767
BaseRepresentation
bin110101000000110010000100…
…101010100110010000000101
31010120111221111102200221121201
4311000302010222212100011
5221024413132444032201
62143511423124142501
7100052356026042535
oct6500620452462005
91116457442627551
10233150230455301
116831a503972755
12221960b0537a31
13a012c84468a53
1441807620c74c5
151be4b8c50e801
hexd40c84aa6405

233150230455301 has 16 divisors (see below), whose sum is σ = 241822728919296. Its totient is φ = 224613099933696.

The previous prime is 233150230455293. The next prime is 233150230455323. The reversal of 233150230455301 is 103554032051332.

It is a cyclic number.

It is not a de Polignac number, because 233150230455301 - 23 = 233150230455293 is a prime.

It is a super-2 number, since 2×2331502304553012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233150230155301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71821881 + ... + 74997886.

It is an arithmetic number, because the mean of its divisors is an integer number (15113920557456).

Almost surely, 2233150230455301 is an apocalyptic number.

It is an amenable number.

233150230455301 is a deficient number, since it is larger than the sum of its proper divisors (8672498463995).

233150230455301 is a wasteful number, since it uses less digits than its factorization.

233150230455301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146820228.

The product of its (nonzero) digits is 162000, while the sum is 37.

The spelling of 233150230455301 in words is "two hundred thirty-three trillion, one hundred fifty billion, two hundred thirty million, four hundred fifty-five thousand, three hundred one".

Divisors: 1 37 167 257 6179 9509 42919 1588003 146819767 5432331379 24518901089 37732680119 907199340293 1396109164403 6301357579873 233150230455301