Search a number
-
+
2000212202022 = 2323474615571201
BaseRepresentation
bin11101000110110101111…
…100000001001000100110
321002012220020010211102020
4131012311330001020212
5230232413310431042
64130515041124010
7264340060122606
oct35066574011046
97065806124366
102000212202022
11701315708361
122837a3029606
131168085015b8
146cb4cb2ac06
153706b9473ec
hex1d1b5f01226

2000212202022 has 128 divisors (see below), whose sum is σ = 4283653828608. Its totient is φ = 621189888000.

The previous prime is 2000212202003. The next prime is 2000212202059. The reversal of 2000212202022 is 2202022120002.

It is a junction number, because it is equal to n+sod(n) for n = 2000212201992 and 2000212202010.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1665455022 + ... + 1665456222.

It is an arithmetic number, because the mean of its divisors is an integer number (33466045536).

Almost surely, 22000212202022 is an apocalyptic number.

2000212202022 is an abundant number, since it is smaller than the sum of its proper divisors (2283441626586).

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

2000212202022 is a wasteful number, since it uses less digits than its factorization.

2000212202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294.

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

Adding to 2000212202022 its reverse (2202022120002), we get a palindrome (4202234322024).

The spelling of 2000212202022 in words is "two trillion, two hundred twelve million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 23 46 47 69 94 138 141 282 461 557 922 1081 1114 1201 1383 1671 2162 2402 2766 3243 3342 3603 6486 7206 10603 12811 21206 21667 25622 26179 27623 31809 38433 43334 52358 55246 56447 63618 65001 76866 78537 82869 112894 130002 157074 165738 169341 256777 338682 498341 513554 553661 602117 668957 770331 996682 1107322 1204234 1298281 1337914 1495023 1540662 1660983 1806351 2006871 2596562 2990046 3321966 3612702 3894843 4013742 5905871 7789686 11811742 12068519 12734203 15386011 17717613 24137038 25468406 26022067 30772022 31440979 35435226 36205557 38202609 46158033 52044134 62881958 72411114 76405218 78066201 92316066 94322937 156132402 188645874 277575937 308389177 555151874 598507541 616778354 723142517 832727811 925167531 1197015082 1446285034 1665455622 1795522623 1850335062 2169427551 3591045246 4338855102 7092951071 14185902142 14494291319 21278853213 28988582638 42557706426 43482873957 86965747914 333368700337 666737400674 1000106101011 2000212202022