Search a number
-
+
2220002010200 = 2352135623151849
BaseRepresentation
bin100000010011100010011…
…011100110010001011000
321212020012202102221012002
4200103202123212101120
5242333031003311300
64415504351340132
7316250501510432
oct40234233462130
97766182387162
102220002010200
11786552294327
122ba302221648
131314647b3130
147963d21b652
153cb324685d5
hex204e26e6458

2220002010200 has 96 divisors (see below), whose sum is σ = 5559568644000. Its totient is φ = 819541877760.

The previous prime is 2220002010133. The next prime is 2220002010211. The reversal of 2220002010200 is 20102000222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14543876 + ... + 14695724.

It is an arithmetic number, because the mean of its divisors is an integer number (57912173375).

Almost surely, 22220002010200 is an apocalyptic number.

2220002010200 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 2220002010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779784322000).

2220002010200 is an abundant number, since it is smaller than the sum of its proper divisors (3339566633800).

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

2220002010200 is a wasteful number, since it uses less digits than its factorization.

2220002010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157501 (or 157492 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2220002010200 its reverse (20102000222), we get a palindrome (2240104010422).

The spelling of 2220002010200 in words is "two trillion, two hundred twenty billion, two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 5623 11246 22492 28115 44984 56230 73099 112460 140575 146198 151849 224920 281150 292396 303698 365495 562300 584792 607396 730990 759245 1124600 1214792 1461980 1518490 1827475 1974037 2923960 3036980 3654950 3796225 3948074 6073960 7309900 7592450 7896148 9870185 14619800 15184900 15792296 19740370 30369800 39480740 49350925 78961480 98701850 197403700 394807400 853846927 1707693854 3415387708 4269234635 6830775416 8538469270 11100010051 17076938540 21346173175 22200020102 34153877080 42692346350 44400040204 55500050255 85384692700 88800080408 111000100510 170769385400 222000201020 277500251275 444000402040 555000502550 1110001005100 2220002010200