Search a number
-
+
2211222220020 = 2233511372259633
BaseRepresentation
bin100000001011010111000…
…111010110110011110100
321211101112212201101021000
4200023113013112303310
5242212040342020040
64411453234123300
7315520101515502
oct40132707266364
97741485641230
102211222220020
11782857329a90
122b8671a20530
13130695844c08
1479049169672
153c7bb789130
hex202d71d6cf4

2211222220020 has 96 divisors (see below), whose sum is σ = 7504754221440. Its totient is φ = 536053870080.

The previous prime is 2211222220013. The next prime is 2211222220021. The reversal of 2211222220020 is 200222221122.

2211222220020 is a `hidden beast` number, since 221 + 1 + 2 + 222 + 200 + 20 = 666.

2211222220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211222219975 and 2211222220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211222220021) 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, 186123877 + ... + 186135756.

It is an arithmetic number, because the mean of its divisors is an integer number (78174523140).

Almost surely, 22211222220020 is an apocalyptic number.

2211222220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211222220020 is an abundant number, since it is smaller than the sum of its proper divisors (5293532001420).

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

2211222220020 is a wasteful number, since it uses less digits than its factorization.

2211222220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372259662 (or 372259654 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2211222220020 its reverse (200222221122), we get a palindrome (2411444441142).

The spelling of 2211222220020 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 372259633 744519266 1116778899 1489038532 1861298165 2233557798 3350336697 3722596330 4094855963 4467115596 5583894495 6700673394 7445192660 8189711926 10051010091 11167788990 12284567889 13401346788 16379423852 16751683485 20102020182 20474279815 22335577980 24569135778 33503366970 36853703667 40204040364 40948559630 49138271556 50255050455 61422839445 67006733940 73707407334 81897119260 100510100910 110561111001 122845678890 147414814668 184268518335 201020201820 221122222002 245691357780 368537036670 442244444004 552805555005 737074073340 1105611110010 2211222220020