Search a number
-
+
20002200020 = 22511731379091
BaseRepresentation
bin10010101000001110…
…010101100111010100
31220121222200001002222
4102220032111213110
5311431030400040
613104444321512
71305446615645
oct225016254724
956558601088
1020002200020
1185347a1a20
123a62843298
131b69c9811a
14d7a6d96cc
157c1052bb5
hex4a83959d4

20002200020 has 96 divisors (see below), whose sum is σ = 46795142016. Its totient is φ = 7120742400.

The previous prime is 20002200019. The next prime is 20002200047. The reversal of 20002200020 is 2000220002.

It is a junction number, because it is equal to n+sod(n) for n = 20002199980 and 20002200007.

It is a congruent 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, 2195675 + ... + 2204765.

It is an arithmetic number, because the mean of its divisors is an integer number (487449396).

Almost surely, 220002200020 is an apocalyptic number.

20002200020 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 20002200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23397571008).

20002200020 is an abundant number, since it is smaller than the sum of its proper divisors (26792941996).

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

20002200020 is a wasteful number, since it uses less digits than its factorization.

20002200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9321 (or 9319 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20002200020 its reverse (2000220002), we get a palindrome (22002420022).

It can be divided in two parts, 20002 and 200020, that added together give a palindrome (220022).

The spelling of 20002200020 in words is "twenty billion, two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 137 146 220 274 292 365 548 685 730 803 1370 1460 1507 1606 2740 3014 3212 4015 6028 7535 8030 9091 10001 15070 16060 18182 20002 30140 36364 40004 45455 50005 90910 100001 100010 110011 181820 200002 200020 220022 400004 440044 500005 550055 663643 1000010 1100110 1245467 1327286 2000020 2200220 2490934 2654572 3318215 4981868 6227335 6636430 7300073 12454670 13272860 13700137 14600146 24909340 27400274 29200292 36500365 54800548 68500685 73000730 90919091 137001370 146001460 181838182 274002740 363676364 454595455 909190910 1000110001 1818381820 2000220002 4000440004 5000550005 10001100010 20002200020