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22212322120 = 2353147937397
BaseRepresentation
bin10100101011111101…
…010010001101001000
32010100000101212200001
4110223331102031020
5330442323301440
614112035052344
71414304423422
oct245375221510
963300355601
1022212322120
11946930540a
12437aa410b4
13212cb31a91
14110a04d812
158a00bdb9a
hex52bf52348

22212322120 has 64 divisors (see below), whose sum is σ = 51698995200. Its totient is φ = 8580138240.

The previous prime is 22212322103. The next prime is 22212322123. The reversal of 22212322120 is 2122321222.

It is not an unprimeable number, because it can be changed into a prime (22212322123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575262 + ... + 612658.

It is an arithmetic number, because the mean of its divisors is an integer number (807796800).

Almost surely, 222212322120 is an apocalyptic number.

22212322120 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 22212322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25849497600).

22212322120 is an abundant number, since it is smaller than the sum of its proper divisors (29486673080).

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

22212322120 is a wasteful number, since it uses less digits than its factorization.

22212322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37918 (or 37914 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22212322120 its reverse (2122321222), we get a palindrome (24334643342).

The spelling of 22212322120 in words is "twenty-two billion, two hundred twelve million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 479 620 958 1240 1916 2395 3832 4790 9580 14849 19160 29698 37397 59396 74245 74794 118792 148490 149588 186985 296980 299176 373970 593960 747940 1159307 1495880 2318614 4637228 5796535 9274456 11593070 17913163 23186140 35826326 46372280 71652652 89565815 143305304 179131630 358263260 555308053 716526520 1110616106 2221232212 2776540265 4442464424 5553080530 11106161060 22212322120