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22021222201220 = 225114319081121997
BaseRepresentation
bin1010000000111001101110…
…01000000111011110000100
32212222012121211121212202102
411000130313020013132010
510341243430340414340
6114500224304331232
74431660262166504
oct500346710073604
985865554555672
1022021222201220
1170201699277a0
122577a3a913b18
13c397914bb508
14561b93461a04
15282c51053215
hex140737207784

22021222201220 has 96 divisors (see below), whose sum is σ = 51624970379136. Its totient is φ = 7821017164800.

The previous prime is 22021222201151. The next prime is 22021222201273. The reversal of 22021222201220 is 2210222212022.

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 = 22021222201192 and 22021222201201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180445262 + ... + 180567258.

It is an arithmetic number, because the mean of its divisors is an integer number (537760108116).

Almost surely, 222021222201220 is an apocalyptic number.

22021222201220 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 22021222201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812485189568).

22021222201220 is an abundant number, since it is smaller than the sum of its proper divisors (29603748177916).

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

22021222201220 is a wasteful number, since it uses less digits than its factorization.

22021222201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141141 (or 141139 counting only the distinct ones).

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

Adding to 22021222201220 its reverse (2210222212022), we get a palindrome (24231444413242).

The spelling of 22021222201220 in words is "twenty-two trillion, twenty-one billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 19081 38162 76324 95405 121997 190810 209891 243994 381620 419782 487988 609985 820483 839564 1049455 1219970 1341967 1640966 2098910 2439940 2683934 3281932 4102415 4197820 5245871 5367868 6709835 8204830 9025313 10491742 13419670 16409660 18050626 20983484 26229355 26839340 36101252 45126565 52458710 57704581 90253130 104917420 115409162 180506260 230818324 288522905 577045810 1154091620 2327824757 4655649514 9311299028 11639123785 23278247570 25606072327 46556495140 51212144654 100096464551 102424289308 128030361635 200192929102 256060723270 400385858204 500482322755 512121446540 1000964645510 1101061110061 2001929291020 2202122220122 4404244440244 5505305550305 11010611100610 22021222201220