Search a number
-
+
2000201000220 = 2232557776125307
BaseRepresentation
bin11101000110110101010…
…001010010010100011100
321002012212110001201102200
4131012311101102110130
5230232402424001340
64130514001051500
7264336562656363
oct35066521222434
97065773051380
102000201000220
1170130a357275
1228379b326b90
131168060aba07
146cb4b4527da
153706a983330
hex1d1b545251c

2000201000220 has 144 divisors (see below), whose sum is σ = 6086018641248. Its totient is φ = 531741818880.

The previous prime is 2000201000197. The next prime is 2000201000221. The reversal of 2000201000220 is 220001020002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000201000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79024807 + ... + 79050113.

It is an arithmetic number, because the mean of its divisors is an integer number (42264018342).

Almost surely, 22000201000220 is an apocalyptic number.

2000201000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000201000220 is an abundant number, since it is smaller than the sum of its proper divisors (4085817641028).

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

2000201000220 is a wasteful number, since it uses less digits than its factorization.

2000201000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26660 (or 26655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2000201000220 its reverse (220001020002), we get a palindrome (2220202020222).

The spelling of 2000201000220 in words is "two trillion, two hundred one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 577 761 1154 1522 1731 2283 2308 2885 3044 3462 3805 4566 5193 5770 6849 6924 7610 8655 9132 10386 11415 11540 13698 15220 17310 20772 22830 25307 25965 27396 34245 34620 45660 50614 51930 68490 75921 101228 103860 126535 136980 151842 227763 253070 303684 379605 439097 455526 506140 759210 878194 911052 1138815 1317291 1518420 1756388 2195485 2277630 2634582 3951873 4390970 4555260 5269164 6586455 7903746 8781940 13172910 14602139 15807492 19258627 19759365 26345820 29204278 38517254 39518730 43806417 57775881 58408556 73010695 77034508 79037460 87612834 96293135 115551762 131419251 146021390 173327643 175225668 192586270 219032085 231103524 262838502 288879405 292042780 346655286 385172540 438064170 525677004 577758810 657096255 693310572 866638215 876128340 1155517620 1314192510 1733276430 2628385020 3466552860 11112227779 22224455558 33336683337 44448911116 55561138895 66673366674 100010050011 111122277790 133346733348 166683416685 200020100022 222244555580 333366833370 400040200044 500050250055 666733666740 1000100500110 2000201000220