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220054770 = 232513192521
BaseRepresentation
bin11010001110111…
…00010011110010
3120100001221101200
431013130103302
5422313223040
633500312030
75311302045
oct1507342362
9510057350
10220054770
11103240451
1261842616
1336789630
1421322c5c
15144bb630
hexd1dc4f2

220054770 has 144 divisors (see below), whose sum is σ = 651537432. Its totient is φ = 51217920.

The previous prime is 220054741. The next prime is 220054801. The reversal of 220054770 is 77450022.

It can be written as a sum of positive squares in 4 ways, for example, as 113614281 + 106440489 = 10659^2 + 10317^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422110 + ... + 422630.

Almost surely, 2220054770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220054770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325768716).

220054770 is an abundant number, since it is smaller than the sum of its proper divisors (431482662).

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

220054770 is a wasteful number, since it uses less digits than its factorization.

220054770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 220054770 is about 14834.2431556180. The cubic root of 220054770 is about 603.7311659055.

The spelling of 220054770 in words is "two hundred twenty million, fifty-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 361 390 494 521 570 585 722 741 855 1042 1083 1170 1235 1482 1563 1710 1805 2166 2223 2470 2605 3126 3249 3610 3705 4446 4689 4693 5210 5415 6498 6773 7410 7815 9378 9386 9899 10830 11115 13546 14079 15630 16245 19798 20319 22230 23445 23465 28158 29697 32490 33865 40638 42237 46890 46930 49495 59394 60957 67730 70395 84474 89091 98990 101595 121914 128687 140790 148485 178182 188081 203190 211185 257374 296970 304785 376162 386061 422370 445455 564243 609570 643435 772122 890910 940405 1128486 1158183 1286870 1692729 1880810 1930305 2316366 2445053 2821215 3385458 3860610 4890106 5642430 5790915 7335159 8463645 11581830 12225265 14670318 16927290 22005477 24450530 36675795 44010954 73351590 110027385 220054770