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22102221222020 = 2252952757722317
BaseRepresentation
bin1010000011010000100110…
…00010110111000010000100
32220020221200210120110122202
411001220103002313002010
510344110322113101040
6115001341550414032
74440555434413262
oct501502302670204
986227623513582
1022102221222020
1170515547489a5
12258b685201318
13c442cc5a98a4
14565a78b71432
15284de20ad015
hex141a130b7084

22102221222020 has 48 divisors (see below), whose sum is σ = 48016146835440. Its totient is φ = 8535856648704.

The previous prime is 22102221221959. The next prime is 22102221222043. The reversal of 22102221222020 is 2022212220122.

It can be written as a sum of positive squares in 8 ways, for example, as 15097528384 + 22087123693636 = 122872^2 + 4699694^2 .

It is a super-2 number, since 2×221022212220202 (a number of 27 digits) contains 22 as substring.

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 = 22102221221983 and 22102221222001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30237902 + ... + 30960218.

It is an arithmetic number, because the mean of its divisors is an integer number (1000336392405).

Almost surely, 222102221222020 is an apocalyptic number.

22102221222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102221222020 is an abundant number, since it is smaller than the sum of its proper divisors (25913925613420).

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

22102221222020 is a wasteful number, since it uses less digits than its factorization.

22102221222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775112 (or 775110 counting only the distinct ones).

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

Adding to 22102221222020 its reverse (2022212220122), we get a palindrome (24124433442142).

The spelling of 22102221222020 in words is "twenty-two trillion, one hundred two billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 52757 105514 211028 263785 527570 722317 1055140 1444634 1529953 2889268 3059906 3611585 6119812 7223170 7649765 14446340 15299530 20947193 30599060 41894386 83788772 104735965 209471930 418943860 38107277969 76214555938 152429111876 190536389845 381072779690 762145559380 1105111061101 2210222122202 4420444244404 5525555305505 11051110611010 22102221222020