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2221212222020 = 22511591091569961
BaseRepresentation
bin100000010100101010100…
…100001100001001000100
321212100100002200001201002
4200110222210030021010
5242343020312101040
64420224422352432
7316322465236661
oct40245244141104
97770302601632
102221212222020
11787013435390
122ba59b58b718
131315c84416bc
1479715c48a68
153cba381ea15
hex2052a90c244

2221212222020 has 96 divisors (see below), whose sum is σ = 5222321596800. Its totient is φ = 786738355200.

The previous prime is 2221212222001. The next prime is 2221212222049. The reversal of 2221212222020 is 202222121222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2221212221983 and 2221212222001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629840 + ... + 2199800.

It is an arithmetic number, because the mean of its divisors is an integer number (54399183300).

Almost surely, 22221212222020 is an apocalyptic number.

2221212222020 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 2221212222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611160798400).

2221212222020 is an abundant number, since it is smaller than the sum of its proper divisors (3001109374780).

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

2221212222020 is a wasteful number, since it uses less digits than its factorization.

2221212222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570149 (or 1570147 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2221212222020 its reverse (202222121222), we get a palindrome (2423434343242).

The spelling of 2221212222020 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 109 110 118 218 220 236 295 436 545 590 649 1090 1180 1199 1298 2180 2398 2596 3245 4796 5995 6431 6490 11990 12862 12980 23980 25724 32155 64310 70741 128620 141482 282964 353705 707410 1414820 1569961 3139922 6279844 7849805 15699610 17269571 31399220 34539142 69078284 86347855 92627699 171125749 172695710 185255398 342251498 345391420 370510796 463138495 684502996 855628745 926276990 1018904689 1711257490 1852553980 1882383239 2037809378 3422514980 3764766478 4075618756 5094523445 7529532956 9411916195 10096419191 10189046890 18823832390 20192838382 20378093780 37647664780 40385676764 50482095955 100964191910 111060611101 201928383820 222121222202 444242444404 555303055505 1110606111010 2221212222020