Search a number
-
+
22020222200020 = 22511397909127733
BaseRepresentation
bin1010000000110111110111…
…00001011010100011010100
32212222010001010221112222221
411000123323201122203110
510341234403340400040
6114455541143032124
74431623430262222
oct500337341324324
985863033845887
1022020222200020
11701a7a6403020
1225777bba3b644
13c39662280925
14561ada713b12
15282be337174a
hex1406fb85a8d4

22020222200020 has 96 divisors (see below), whose sum is σ = 50580782856576. Its totient is φ = 7986017318400.

The previous prime is 22020222199957. The next prime is 22020222200023. The reversal of 22020222200020 is 2000222202022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22020222199967 and 22020222200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020222200023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793994074 + ... + 794021806.

It is an arithmetic number, because the mean of its divisors is an integer number (526883154756).

Almost surely, 222020222200020 is an apocalyptic number.

22020222200020 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 22020222200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25290391428288).

22020222200020 is an abundant number, since it is smaller than the sum of its proper divisors (28560560656556).

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

22020222200020 is a wasteful number, since it uses less digits than its factorization.

22020222200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37241 (or 37239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22020222200020 its reverse (2000222202022), we get a palindrome (24020444402042).

The spelling of 22020222200020 in words is "twenty-two trillion, twenty billion, two hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 397 794 1588 1985 3970 4367 7940 8734 9091 17468 18182 21835 27733 36364 43670 45455 55466 87340 90910 100001 110932 138665 181820 200002 277330 305063 400004 500005 554660 610126 1000010 1220252 1525315 2000020 3050630 3609127 6101260 7218254 11010001 14436508 18045635 22020002 36091270 39700397 44040004 55050005 72182540 79400794 110100010 121110011 158801588 198501985 220200020 242220022 252120703 397003970 484440044 504241406 605550055 794007940 1008482812 1211100110 1260603515 2422200220 2521207030 2773327733 5042414060 5546655466 11093310932 13866638665 27733277330 55466554660 100091919091 200183838182 400367676364 500459595455 1000919190910 1101011110001 2001838381820 2202022220002 4404044440004 5505055550005 11010111100010 22020222200020