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2200221002220 = 2235192353928703
BaseRepresentation
bin100000000001000111011…
…001000010100111101100
321210100011011222121111220
4200001013121002213230
5242022023034032340
64402433443543340
7314650345641303
oct40010731024754
97710134877456
102200221002220
1177912143a24a
122b650168ab50
1312c6315b2197
14786c405d43a
153c375a58ed0
hex200476429ec

2200221002220 has 144 divisors (see below), whose sum is σ = 6503991137280. Its totient is φ = 555668883072.

The previous prime is 2200221002183. The next prime is 2200221002249. The reversal of 2200221002220 is 222001220022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200221002220.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76640389 + ... + 76669091.

It is an arithmetic number, because the mean of its divisors is an integer number (45166605120).

Almost surely, 22200221002220 is an apocalyptic number.

2200221002220 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 2200221002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251995568640).

2200221002220 is an abundant number, since it is smaller than the sum of its proper divisors (4303770135060).

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

2200221002220 is a wasteful number, since it uses less digits than its factorization.

2200221002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32292 (or 32271 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2200221002220 its reverse (222001220022), we get a palindrome (2422222222242).

The spelling of 2200221002220 in words is "two trillion, two hundred billion, two hundred twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3539 3610 4332 5415 7078 7220 10617 10830 14156 17695 21234 21660 28703 35390 42468 53085 57406 67241 70780 86109 106170 114812 134482 143515 172218 201723 212340 268964 287030 336205 344436 403446 430545 545357 574060 672410 806892 861090 1008615 1090714 1277579 1344820 1636071 1722180 2017230 2181428 2555158 2726785 3272142 3832737 4034460 5110316 5453570 6387895 6544284 7665474 8180355 10361783 10907140 12775790 15330948 16360710 19163685 20723566 25551580 31085349 32721420 38327370 41447132 51808915 62170698 76654740 101579917 103617830 124341396 155426745 203159834 207235660 304739751 310853490 406319668 507899585 609479502 621706980 1015799170 1218959004 1523698755 1930018423 2031598340 3047397510 3860036846 5790055269 6094795020 7720073692 9650092115 11580110538 19300184230 23160221076 28950276345 36670350037 38600368460 57900552690 73340700074 110011050111 115801105380 146681400148 183351750185 220022100222 366703500370 440044200444 550055250555 733407000740 1100110501110 2200221002220