Search a number
-
+
220544220 = 223513433653
BaseRepresentation
bin11010010010100…
…11110011011100
3120100222210210110
431021103303130
5422424403340
633515010020
75315411031
oct1511236334
9510883713
10220544220
11103545156
1261a39910
13368cb350
142140d388
1514566680
hexd253cdc

220544220 has 96 divisors (see below), whose sum is σ = 667582272. Its totient is φ = 54079488.

The previous prime is 220544209. The next prime is 220544237. The reversal of 220544220 is 22445022.

220544220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337414 + ... + 338066.

It is an arithmetic number, because the mean of its divisors is an integer number (6953982).

Almost surely, 2220544220 is an apocalyptic number.

220544220 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 220544220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333791136).

220544220 is an abundant number, since it is smaller than the sum of its proper divisors (447038052).

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

220544220 is a wasteful number, since it uses less digits than its factorization.

220544220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 220544220 is about 14850.7312951248. The cubic root of 220544220 is about 604.1784445636.

Adding to 220544220 its reverse (22445022), we get a palindrome (242989242).

The spelling of 220544220 in words is "two hundred twenty million, five hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 433 653 780 866 1299 1306 1732 1959 2165 2598 2612 3265 3918 4330 5196 5629 6495 6530 7836 8489 8660 9795 11258 12990 13060 16887 16978 19590 22516 25467 25980 28145 33774 33956 39180 42445 50934 56290 67548 84435 84890 101868 112580 127335 168870 169780 254670 282749 337740 509340 565498 848247 1130996 1413745 1696494 2827490 3392988 3675737 4241235 5654980 7351474 8482470 11027211 14702948 16964940 18378685 22054422 36757370 44108844 55136055 73514740 110272110 220544220