Search a number
-
+
820220208200 = 235217922911179
BaseRepresentation
bin10111110111110001110…
…11110010010001001000
32220102010120000202002122
423323320323302101020
5101414302333130300
61424445353350412
7113154551510231
oct13737073622110
92812116022078
10820220208200
11296942a19468
12112b6a108408
135c467165703
142b9ad9b0088
1516508559c85
hexbef8ef2448

820220208200 has 48 divisors (see below), whose sum is σ = 1917665766000. Its totient is φ = 326255174720.

The previous prime is 820220208187. The next prime is 820220208277. The reversal of 820220208200 is 2802022028.

It is a super-2 number, since 2×8202202082002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 820220208200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11419790 + ... + 11491389.

It is an arithmetic number, because the mean of its divisors is an integer number (39951370125).

Almost surely, 2820220208200 is an apocalyptic number.

It is an amenable number.

820220208200 is an abundant number, since it is smaller than the sum of its proper divisors (1097445557800).

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

820220208200 is a wasteful number, since it uses less digits than its factorization.

820220208200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22911374 (or 22911365 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The spelling of 820220208200 in words is "eight hundred twenty billion, two hundred twenty million, two hundred eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 716 895 1432 1790 3580 4475 7160 8950 17900 35800 22911179 45822358 91644716 114555895 183289432 229111790 458223580 572779475 916447160 1145558950 2291117900 4101101041 4582235800 8202202082 16404404164 20505505205 32808808328 41011010410 82022020820 102527526025 164044041640 205055052050 410110104100 820220208200