Search a number
-
+
2230266229329 = 317535913984877
BaseRepresentation
bin100000011101000110001…
…110011111001001010001
321220012201002101021211010
4200131012032133021101
5243020041123314304
64424323053241133
7320063035105515
oct40350616371121
97805632337733
102230266229329
1178a93a164056
123002a77931a9
1313240c151088
1479d344bc145
153d033618789
hex2074639f251

2230266229329 has 32 divisors (see below), whose sum is σ = 3262392339840. Its totient is φ = 1349708352512.

The previous prime is 2230266229313. The next prime is 2230266229343. The reversal of 2230266229329 is 9239226620322.

It is a cyclic number.

It is not a de Polignac number, because 2230266229329 - 24 = 2230266229313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2230266229349) 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 31 ways as a sum of consecutive naturals, for example, 6832962 + ... + 7151915.

It is an arithmetic number, because the mean of its divisors is an integer number (101949760620).

Almost surely, 22230266229329 is an apocalyptic number.

It is an amenable number.

2230266229329 is a deficient number, since it is larger than the sum of its proper divisors (1032126110511).

2230266229329 is a wasteful number, since it uses less digits than its factorization.

2230266229329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13985009.

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 2230266229329 in words is "two trillion, two hundred thirty billion, two hundred sixty-six million, two hundred twenty-nine thousand, three hundred twenty-nine".

Divisors: 1 3 17 51 53 59 159 177 901 1003 2703 3009 3127 9381 53159 159477 13984877 41954631 237742909 713228727 741198481 825107743 2223595443 2475323229 12600374177 14026831631 37801122531 42080494893 43730710379 131192131137 743422076443 2230266229329