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22001201221220 = 225132310093364523
BaseRepresentation
bin1010000000010100011011…
…10010001000111001100100
32212220021221112121201100122
411000022031302020321210
510340431430003034340
6114443113505301112
74430351163522434
oct500121562107144
985807845551318
1022001201221220
117012725579131
122573b91934798
13c379206793a0
14560c144782c4
1528247d540db5
hex14028dc88e64

22001201221220 has 96 divisors (see below), whose sum is σ = 51925178172672. Its totient is φ = 7769532722688.

The previous prime is 22001201221211. The next prime is 22001201221231. The reversal of 22001201221220 is 2212210210022.

It is a happy number.

It is a super-2 number, since 2×220012012212202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 60173879 + ... + 60538401.

It is an arithmetic number, because the mean of its divisors is an integer number (540887272632).

Almost surely, 222001201221220 is an apocalyptic number.

22001201221220 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 22001201221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25962589086336).

22001201221220 is an abundant number, since it is smaller than the sum of its proper divisors (29923976951452).

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

22001201221220 is a wasteful number, since it uses less digits than its factorization.

22001201221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374661 (or 374659 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22001201221220 its reverse (2212210210022), we get a palindrome (24213411431242).

The spelling of 22001201221220 in words is "twenty-two trillion, one billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 10093 20186 40372 50465 100930 131209 201860 232139 262418 364523 464278 524836 656045 729046 928556 1160695 1312090 1458092 1822615 2321390 2624180 3017807 3645230 4642780 4738799 6035614 7290460 8384029 9477598 12071228 15089035 16768058 18955196 23693995 30178070 33536116 41920145 47387990 60356140 83840290 94775980 108992377 167680580 217984754 435969508 544961885 1089923770 2179847540 3679130639 7358261278 14716522556 18395653195 36791306390 47828698307 73582612780 84620004697 95657396614 169240009394 191314793228 239143491535 338480018788 423100023485 478286983070 846200046970 956573966140 1100060061061 1692400093940 2200120122122 4400240244244 5500300305305 11000600610610 22001201221220