Search a number
-
+
215605224009 = 3476119332299
BaseRepresentation
bin1100100011001100010…
…0101010001001001001
3202121111220021012110000
43020303010222021021
512013024414132014
6243014144113213
721401620110630
oct3106304521111
9677456235400
10215605224009
118348a589a4a
1235951905809
1317440372836
14a61484c517
15591d489509
hex323312a249

215605224009 has 80 divisors (see below), whose sum is σ = 376072259200. Its totient is φ = 120551639040.

The previous prime is 215605223993. The next prime is 215605224019. The reversal of 215605224009 is 900422506512.

215605224009 is a `hidden beast` number, since 2 + 1 + 5 + 605 + 2 + 2 + 40 + 0 + 9 = 666.

It is not a de Polignac number, because 215605224009 - 24 = 215605223993 is a prime.

It is a super-2 number, since 2×2156052240092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (215605224019) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6659142 + ... + 6691440.

It is an arithmetic number, because the mean of its divisors is an integer number (4700903240).

Almost surely, 2215605224009 is an apocalyptic number.

It is an amenable number.

215605224009 is a deficient number, since it is larger than the sum of its proper divisors (160467035191).

215605224009 is a wasteful number, since it uses less digits than its factorization.

215605224009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32572 (or 32563 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 215605224009 in words is "two hundred fifteen billion, six hundred five million, two hundred twenty-four thousand, nine".

Divisors: 1 3 7 9 21 27 61 63 81 183 189 193 427 549 567 579 1281 1351 1647 1737 3843 4053 4941 5211 11529 11773 12159 15633 32299 34587 35319 36477 82411 96897 105957 109431 226093 247233 290691 317871 678279 741699 872073 953613 1970239 2034837 2225097 2616219 5910717 6104511 6233707 6675291 13791673 17732151 18313533 18701121 41375019 43635949 53196453 56103363 124125057 130907847 159589359 168310089 372375171 380256127 392723541 504930267 1117125513 1140768381 1178170623 2661792889 3422305143 3534511869 7985378667 10266915429 23956136001 30800746287 71868408003 215605224009