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22022200201020 = 22355345491522361
BaseRepresentation
bin1010000000111011100010…
…11010111000111100111100
32212222022010222220102021020
411000131301122320330330
510341302431222413040
6114500505322304140
74432023436101045
oct500356132707474
985868128812236
1022022200201020
117020620994498
122578072358050
13c398b8cc4a16
14561c472c38cc
15282cabd3acd0
hex1407716b8f3c

22022200201020 has 96 divisors (see below), whose sum is σ = 62839449691200. Its totient is φ = 5760512808960.

The previous prime is 22022200200989. The next prime is 22022200201021. The reversal of 22022200201020 is 2010200222022.

22022200201020 is digitally balanced in base 5, 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022200201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13704640 + ... + 15227000.

It is an arithmetic number, because the mean of its divisors is an integer number (654577600950).

Almost surely, 222022200201020 is an apocalyptic number.

22022200201020 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 22022200201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31419724845600).

22022200201020 is an abundant number, since it is smaller than the sum of its proper divisors (40817249490180).

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

22022200201020 is a wasteful number, since it uses less digits than its factorization.

22022200201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526975 (or 1526973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22022200201020 its reverse (2010200222022), we get a palindrome (24032400423042).

The spelling of 22022200201020 in words is "twenty-two trillion, twenty-two billion, two hundred million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 4549 9098 13647 18196 22745 27294 45490 54588 68235 90980 136470 241097 272940 482194 723291 964388 1205485 1446582 1522361 2410970 2893164 3044722 3616455 4567083 4821940 6089444 7232910 7611805 9134166 14465820 15223610 18268332 22835415 30447220 45670830 80685133 91341660 161370266 242055399 322740532 403425665 484110798 806851330 968221596 1210276995 1613702660 2420553990 4841107980 6925220189 13850440378 20775660567 27700880756 34626100945 41551321134 69252201890 83102642268 103878302835 138504403780 207756605670 367036670017 415513211340 734073340034 1101110010051 1468146680068 1835183350085 2202220020102 3670366700170 4404440040204 5505550050255 7340733400340 11011100100510 22022200201020