Search a number
-
+
217663189320 = 23357272494993
BaseRepresentation
bin1100101010110110111…
…1001011000101001000
3202210211022200200010110
43022231233023011020
512031233234024240
6243554301314320
721503616403533
oct3125557130510
9683738620113
10217663189320
1184346217825
1236226b659a0
13176aa8339a5
14a76bcb5a1a
1559dde9bc80
hex32adbcb148

217663189320 has 64 divisors (see below), whose sum is σ = 653888027520. Its totient is φ = 57963654144.

The previous prime is 217663189307. The next prime is 217663189343. The reversal of 217663189320 is 23981366712.

217663189320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 217663189320.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1160257 + ... + 1334736.

It is an arithmetic number, because the mean of its divisors is an integer number (10217000430).

Almost surely, 2217663189320 is an apocalyptic number.

217663189320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217663189320 is an abundant number, since it is smaller than the sum of its proper divisors (436224838200).

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

217663189320 is a wasteful number, since it uses less digits than its factorization.

217663189320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495734 (or 2495730 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 217663189320 in words is "two hundred seventeen billion, six hundred sixty-three million, one hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 727 1454 2181 2908 3635 4362 5816 7270 8724 10905 14540 17448 21810 29080 43620 87240 2494993 4989986 7484979 9979972 12474965 14969958 19959944 24949930 29939916 37424895 49899860 59879832 74849790 99799720 149699580 299399160 1813859911 3627719822 5441579733 7255439644 9069299555 10883159466 14510879288 18138599110 21766318932 27207898665 36277198220 43532637864 54415797330 72554396440 108831594660 217663189320