Search a number
-
+
2002024269 = 3673671069
BaseRepresentation
bin111011101010100…
…0111011101001101
312011112011101000000
41313111013131031
513100004234034
6530354154513
7100416632310
oct16725073515
95145141000
102002024269
119380aa513
1247a582a39
1325ba0585b
1414dc64977
15bab62599
hex7754774d

2002024269 has 56 divisors (see below), whose sum is σ = 3443037440. Its totient is φ = 1139829408.

The previous prime is 2002024183. The next prime is 2002024291. The reversal of 2002024269 is 9624202002.

It is not a de Polignac number, because 2002024269 - 223 = 1993635661 is a prime.

It is a super-2 number, since 2×20020242692 = 8016202347329968722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002024469) 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 55 ways as a sum of consecutive naturals, for example, 1872267 + ... + 1873335.

Almost surely, 22002024269 is an apocalyptic number.

It is an amenable number.

2002024269 is a deficient number, since it is larger than the sum of its proper divisors (1441013171).

2002024269 is an equidigital number, since it uses as much as digits as its factorization.

2002024269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2002024269 is about 44743.9858416749. The cubic root of 2002024269 is about 1260.3459764201.

The spelling of 2002024269 in words is "two billion, two million, twenty-four thousand, two hundred sixty-nine".

Divisors: 1 3 7 9 21 27 63 81 189 243 367 567 729 1069 1101 1701 2569 3207 3303 5103 7483 7707 9621 9909 22449 23121 28863 29727 67347 69363 86589 89181 202041 208089 259767 267543 392323 606123 624267 779301 1176969 1818369 1872801 2746261 3530907 5455107 8238783 10592721 24716349 31778163 74149047 95334489 222447141 286003467 667341423 2002024269