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220213213303304 = 2313103499161325541
BaseRepresentation
bin110010000100100001100010…
…010110101001001000001000
31001212201011210110112121022102
4302010201202112221020020
5212330433130101201204
62100204315324412532
764245610466453534
oct6204414226511010
91055634713477272
10220213213303304
1164191998a65961
12208469676a7148
1395b502b1c8040
143c5453ab74bc4
151a6d3b73d241e
hexc848625a9208

220213213303304 has 128 divisors (see below), whose sum is σ = 450174684960000. Its totient is φ = 100382193699840.

The previous prime is 220213213303289. The next prime is 220213213303339. The reversal of 220213213303304 is 403303312312022.

It is a happy 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, 8621936774 + ... + 8621962314.

It is an arithmetic number, because the mean of its divisors is an integer number (3516989726250).

Almost surely, 2220213213303304 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 220213213303304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225087342480000).

220213213303304 is an abundant number, since it is smaller than the sum of its proper divisors (229961471656696).

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

220213213303304 is a wasteful number, since it uses less digits than its factorization.

220213213303304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27775 (or 27771 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 220213213303304 its reverse (403303312312022), we get a palindrome (623516525615326).

The spelling of 220213213303304 in words is "two hundred twenty trillion, two hundred thirteen billion, two hundred thirteen million, three hundred three thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 103 104 206 412 499 824 998 1339 1613 1996 2678 3226 3992 5356 6452 6487 10712 12904 12974 20969 25541 25948 41938 51082 51397 51896 83876 102164 102794 166139 167752 204328 205588 332033 332278 411176 664066 664556 668161 804887 1328132 1329112 1336322 1609774 2159807 2630723 2656264 2672644 3219548 4319614 5261446 5345288 6439096 8639228 10463531 10522892 12744959 17278456 20927062 21045784 25489918 34199399 41197633 41854124 50979836 68398798 82395266 82903361 83708248 101959672 136797596 164790532 165684467 165806722 273595192 329581064 331368934 331613444 535569229 662737868 663226888 1071138458 1077743693 1312730777 1325475736 2142276916 2155487386 2625461554 4243356199 4284553832 4310974772 5250923108 8486712398 8621949544 10501846216 16973424796 17065500101 20557618867 33946849592 34131000202 41115237734 55163630587 68262000404 82230475468 110327261174 136524000808 164460950936 220654522348 267249045271 441309044696 534498090542 1068996181084 2117434743301 2137992362168 4234869486602 8469738973204 16939477946408 27526651662913 55053303325826 110106606651652 220213213303304