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214205236245 = 325711132365797
BaseRepresentation
bin1100011101111110100…
…0001000010000010101
3202110220022221110021100
43013133220020100111
512002143020024440
6242223213340313
721322130315640
oct3073750102025
9673808843240
10214205236245
11829312a9470
1235620a97699
13172792c9800
14a520940a57
15588a5e8230
hex31dfa08415

214205236245 has 144 divisors (see below), whose sum is σ = 501254462592. Its totient is φ = 82172413440.

The previous prime is 214205236229. The next prime is 214205236249. The reversal of 214205236245 is 542632502412.

214205236245 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 0 + 5 + 23 + 624 + 5 = 666.

It is not a de Polignac number, because 214205236245 - 24 = 214205236229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214205236249) 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, 402687 + ... + 768483.

It is an arithmetic number, because the mean of its divisors is an integer number (3480933768).

Almost surely, 2214205236245 is an apocalyptic number.

It is an amenable number.

214205236245 is an abundant number, since it is smaller than the sum of its proper divisors (287049226347).

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

214205236245 is a wasteful number, since it uses less digits than its factorization.

214205236245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365852 (or 365836 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 214205236245 its reverse (542632502412), we get a palindrome (756837738657).

The spelling of 214205236245 in words is "two hundred fourteen billion, two hundred five million, two hundred thirty-six thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 55 63 65 77 91 99 105 117 143 165 169 195 231 273 315 385 429 455 495 507 585 693 715 819 845 1001 1155 1183 1287 1365 1521 1859 2145 2535 3003 3465 3549 4095 5005 5577 5915 6435 7605 9009 9295 10647 13013 15015 16731 17745 27885 39039 45045 53235 65065 83655 117117 195195 365797 585585 1097391 1828985 2560579 3292173 4023767 4755361 5486955 7681737 12071301 12802895 14266083 16460865 20118835 23045211 23776805 28166369 33287527 36213903 38408685 42798249 52308971 60356505 61819693 71330415 84499107 99862581 115226055 140831845 156926913 166437635 181069515 185459079 213991245 253497321 261544855 299587743 309098465 366162797 422495535 432737851 470780739 499312905 556377237 680016623 784634565 927295395 1098488391 1267486605 1298213553 1497938715 1830813985 2040049869 2163689255 2353903695 2781886185 3295465173 3400083115 3894640659 4760116361 5492441955 6120149607 6491067765 10200249345 14280349083 16477325865 19473203295 23800581805 30600748035 42841047249 71401745415 214205236245