Search a number
-
+
2115214605 = 325725971229
BaseRepresentation
bin111111000010011…
…1001110100001101
312110102011000221200
41332010321310031
513312443331410
6545520220113
7103263012300
oct17604716415
95412130850
102115214605
11995a90049
124b046a639
132792b709a
14160ccab37
15c5a703c0
hex7e139d0d

2115214605 has 144 divisors (see below), whose sum is σ = 4417545600. Its totient is φ = 933085440.

The previous prime is 2115214603. The next prime is 2115214643. The reversal of 2115214605 is 5064125112.

2115214605 is a `hidden beast` number, since 2 + 1 + 1 + 52 + 1 + 4 + 605 = 666.

It is not a de Polignac number, because 2115214605 - 21 = 2115214603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115214603) 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 143 ways as a sum of consecutive naturals, for example, 9236631 + ... + 9236859.

It is an arithmetic number, because the mean of its divisors is an integer number (30677400).

Almost surely, 22115214605 is an apocalyptic number.

It is an amenable number.

2115214605 is an abundant number, since it is smaller than the sum of its proper divisors (2302330995).

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

2115214605 is a wasteful number, since it uses less digits than its factorization.

2115214605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2115214605 is about 45991.4623055193. The cubic root of 2115214605 is about 1283.6643462024.

Adding to 2115214605 its reverse (5064125112), we get a palindrome (7179339717).

The spelling of 2115214605 in words is "two billion, one hundred fifteen million, two hundred fourteen thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 59 63 71 105 147 177 213 229 245 295 315 355 413 441 497 531 639 687 735 885 1065 1145 1239 1491 1603 2061 2065 2205 2485 2655 2891 3195 3435 3479 3717 4189 4473 4809 6195 7455 8015 8673 10305 10437 11221 12567 13511 14427 14455 16259 17395 18585 20945 22365 24045 26019 29323 31311 33663 37701 40533 43365 48777 52185 56105 62835 67555 72135 81295 87969 94577 100989 113813 121599 130095 146331 146615 156555 168315 188505 202665 205261 243885 263907 283731 341439 439845 472885 504945 569065 607995 615783 662039 731655 796691 851193 959281 1024317 1026305 1319535 1418655 1707195 1847349 1986117 2390073 2877843 3078915 3310195 3983455 4255965 4796405 5121585 5958351 6714967 7170219 8633529 9236745 9930585 11950365 14389215 20144901 29791755 33574835 35851095 43167645 47004769 60434703 100724505 141014307 235023845 302173515 423042921 705071535 2115214605