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22142203240220 = 2257295392368601
BaseRepresentation
bin1010000100011011000100…
…01010001001111100011100
32220101202220012210102202122
411002031202022021330130
510400234213012141340
6115031553204042112
74443502303102100
oct502154212117434
986352805712678
1022142203240220
117067501534a48
122597383093338
13c48001a0451b
1456798cbbb900
15285e821e1db5
hex142362289f1c

22142203240220 has 72 divisors (see below), whose sum is σ = 54095932613520. Its totient is φ = 7590813484800.

The previous prime is 22142203240219. The next prime is 22142203240229. The reversal of 22142203240220 is 2204230224122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22142203240220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142203240229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8163920 + ... + 10532520.

It is an arithmetic number, because the mean of its divisors is an integer number (751332397410).

Almost surely, 222142203240220 is an apocalyptic number.

22142203240220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142203240220 is an abundant number, since it is smaller than the sum of its proper divisors (31953729373300).

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

22142203240220 is a wasteful number, since it uses less digits than its factorization.

22142203240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378163 (or 2378154 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 22142203240220 its reverse (2204230224122), we get a palindrome (24346433464342).

The spelling of 22142203240220 in words is "twenty-two trillion, one hundred forty-two billion, two hundred three million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 9539 19078 38156 47695 66773 95390 133546 190780 267092 333865 467411 667730 934822 1335460 1869644 2337055 2368601 4674110 4737202 9348220 9474404 11843005 16580207 23686010 33160414 47372020 66320828 82901035 116061449 165802070 232122898 331604140 464245796 580307245 1160614490 2321228980 22594084939 45188169878 90376339756 112970424695 158158594573 225940849390 316317189146 451881698780 632634378292 790792972865 1107110162011 1581585945730 2214220324022 3163171891460 4428440648044 5535550810055 11071101620110 22142203240220