Search a number
-
+
220094083408 = 242943611391301
BaseRepresentation
bin1100110011111010100…
…0010011000101010000
3210001002201211212220211
43030332220103011100
512101223041132113
6245035420013504
721621064561363
oct3147650230520
9701081755824
10220094083408
1185383410501
12367a5091294
13179a7348564
14a91ca980da
155ad25c6b3d
hex333ea13150

220094083408 has 160 divisors (see below), whose sum is σ = 462451651200. Its totient is φ = 101267712000.

The previous prime is 220094083403. The next prime is 220094083427. The reversal of 220094083408 is 804380490022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220094083403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169172358 + ... + 169173658.

It is an arithmetic number, because the mean of its divisors is an integer number (2890322820).

Almost surely, 2220094083408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220094083408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231225825600).

220094083408 is an abundant number, since it is smaller than the sum of its proper divisors (242357567792).

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

220094083408 is a wasteful number, since it uses less digits than its factorization.

220094083408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 220094083408 in words is "two hundred twenty billion, ninety-four million, eighty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 43 58 61 86 116 122 139 172 232 244 278 344 464 488 556 688 976 1112 1247 1301 1769 2224 2494 2602 2623 3538 4031 4988 5204 5246 5977 7076 8062 8479 9976 10408 10492 11954 14152 16124 16958 19952 20816 20984 23908 28304 32248 33916 37729 41968 47816 55943 64496 67832 75458 76067 79361 95632 111886 135664 150916 152134 158722 173333 180839 223772 245891 301832 304268 317444 346666 361678 364597 447544 491782 603664 608536 634888 693332 723356 729194 895088 983564 1217072 1269776 1386664 1446712 1458388 1622347 1967128 2301469 2773328 2893424 2916776 3244694 3412523 3934256 4602938 5244331 5833552 6489388 6825046 7776077 9205876 10488662 10573313 11031179 12978776 13650092 15552154 18411752 20977324 21146626 22062358 25957552 27300184 31104308 36823504 41954648 42293252 44124716 54600368 62208616 83909296 84586504 88249432 98963167 124417232 169173008 176498864 197926334 225506233 319904191 395852668 451012466 474340697 639808382 791705336 902024932 948681394 1279616764 1583410672 1804049864 1897362788 2559233528 3608099728 3794725576 5118467056 7589451152 13755880213 27511760426 55023520852 110047041704 220094083408