Search a number
-
+
2022212100220 = 2251354758724223
BaseRepresentation
bin11101011011010101001…
…110111110000001111100
321011022200102211110020121
4131123111032332001330
5231112442244201340
64144554051224324
7266046205145524
oct35332516760174
97138612743217
102022212100220
1170a685014504
12287b028a80a4
13118903319140
146dc38882684
153790805594a
hex1d6d53be07c

2022212100220 has 96 divisors (see below), whose sum is σ = 4589665855488. Its totient is φ = 743997526272.

The previous prime is 2022212100217. The next prime is 2022212100247. The reversal of 2022212100220 is 220012122202.

It is a junction number, because it is equal to n+sod(n) for n = 2022212100194 and 2022212100203.

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, 83471029 + ... + 83495251.

It is an arithmetic number, because the mean of its divisors is an integer number (47809019328).

Almost surely, 22022212100220 is an apocalyptic number.

2022212100220 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 2022212100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294832927744).

2022212100220 is an abundant number, since it is smaller than the sum of its proper divisors (2567453755268).

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

2022212100220 is a wasteful number, since it uses less digits than its factorization.

2022212100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25379 (or 25377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2022212100220 its reverse (220012122202), we get a palindrome (2242224222422).

The spelling of 2022212100220 in words is "two trillion, twenty-two billion, two hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 547 587 1094 1174 2188 2348 2735 2935 5470 5870 7111 7631 10940 11740 14222 15262 24223 28444 30524 35555 38155 48446 71110 76310 96892 121115 142220 152620 242230 314899 321089 484460 629798 642178 1259596 1284356 1574495 1605445 3148990 3210890 4174157 6297980 6421780 8348314 13249981 14218901 16696628 20870785 26499962 28437802 41741570 52999924 56875604 66249905 71094505 83483140 132499810 142189010 172249753 184845713 264999620 284378020 344499506 369691426 688999012 739382852 861248765 924228565 1722497530 1848457130 3444995060 3696914260 7777738847 15555477694 31110955388 38888694235 77777388470 101110605011 155554776940 202221210022 404442420044 505553025055 1011106050110 2022212100220