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22022202200020 = 225117313710009091
BaseRepresentation
bin1010000000111011100011…
…00010100000111111010100
32212222022011010122222101021
411000131301202200333110
510341302432230400040
6114500505433210524
74432023462065041
oct500356142407724
985868133588337
1022022202200020
11702062202a360
122578072b60a44
13c398b9544869
14561c476841c8
15282cac0d324a
hex1407718a0fd4

22022202200020 has 96 divisors (see below), whose sum is σ = 51515275142016. Its totient is φ = 7840720742400.

The previous prime is 22022202199969. The next prime is 22022202200027. The reversal of 22022202200020 is 2000220222022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22022202199967 and 22022202200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022202200027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2804326 + ... + 7204765.

It is an arithmetic number, because the mean of its divisors is an integer number (536617449396).

Almost surely, 222022202200020 is an apocalyptic number.

22022202200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022202200020 is an abundant number, since it is smaller than the sum of its proper divisors (29493072941996).

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

22022202200020 is a wasteful number, since it uses less digits than its factorization.

22022202200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10009321 (or 10009319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22022202200020 its reverse (2000220222022), we get a palindrome (24022422422042).

It can be divided in two parts, 22022202 and 200020, that added together give a palindrome (22222222).

The spelling of 22022202200020 in words is "twenty-two trillion, twenty-two billion, two hundred two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 137 146 220 274 292 365 548 685 730 803 1370 1460 1507 1606 2740 3014 3212 4015 6028 7535 8030 10001 15070 16060 20002 30140 40004 50005 100010 110011 200020 220022 440044 550055 1100110 2200220 10009091 20018182 40036364 50045455 100090910 110100001 200181820 220200002 440400004 550500005 730663643 1101000010 1371245467 1461327286 2202000020 2742490934 2922654572 3653318215 5484981868 6856227335 7306636430 8037300073 13712454670 14613272860 15083700137 16074600146 27424909340 30167400274 32149200292 40186500365 60334800548 75418500685 80373000730 100100919091 150837001370 160746001460 200201838182 301674002740 400403676364 500504595455 1001009190910 1101110110001 2002018381820 2202220220002 4404440440004 5505550550005 11011101100010 22022202200020