Search a number
-
+
220710660 = 2235171511433
BaseRepresentation
bin11010010011111…
…00011100000100
3120101022021002220
431021330130010
5423000220120
633522332340
75320003212
oct1511743404
9511267086
10220710660
11103649205
1261aba0b0
1336959031
1421453cb2
151459ab40
hexd27c704

220710660 has 96 divisors (see below), whose sum is σ = 659135232. Its totient is φ = 54988800.

The previous prime is 220710653. The next prime is 220710697. The reversal of 220710660 is 66017022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 220710660.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153304 + ... + 154736.

It is an arithmetic number, because the mean of its divisors is an integer number (6865992).

Almost surely, 2220710660 is an apocalyptic number.

220710660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220710660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329567616).

220710660 is an abundant number, since it is smaller than the sum of its proper divisors (438424572).

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

220710660 is a wasteful number, since it uses less digits than its factorization.

220710660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 220710660 is about 14856.3340027074. The cubic root of 220710660 is about 604.3303931906.

Adding to 220710660 its reverse (66017022), we get a palindrome (286727682).

The spelling of 220710660 in words is "two hundred twenty million, seven hundred ten thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 151 170 204 255 302 340 453 510 604 755 906 1020 1433 1510 1812 2265 2567 2866 3020 4299 4530 5134 5732 7165 7701 8598 9060 10268 12835 14330 15402 17196 21495 24361 25670 28660 30804 38505 42990 48722 51340 73083 77010 85980 97444 121805 146166 154020 216383 243610 292332 365415 432766 487220 649149 730830 865532 1081915 1298298 1461660 2163830 2596596 3245745 3678511 4327660 6491490 7357022 11035533 12982980 14714044 18392555 22071066 36785110 44142132 55177665 73570220 110355330 220710660