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242222144143100 = 2252113710954600037
BaseRepresentation
bin110111000100110010111100…
…110110111011111011111100
31011202122012200200210121222112
4313010302330312323323330
5223222031422400034400
62215055152234433152
7102006654352056362
oct6704627466737374
91152565620717875
10242222144143100
11701a791a717910
1223200335b927b8
13a5205b1089c14
1443b5885a13632
151d00b49310835
hexdc4cbcdbbefc

242222144143100 has 144 divisors (see below), whose sum is σ = 594306125619360. Its totient is φ = 84913975987200.

The previous prime is 242222144142967. The next prime is 242222144143103. The reversal of 242222144143100 is 1341441222242.

It is a super-2 number, since 2×2422221441431002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242222144143103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22863719 + ... + 31736318.

Almost surely, 2242222144143100 is an apocalyptic number.

242222144143100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242222144143100 is an abundant number, since it is smaller than the sum of its proper divisors (352083981476260).

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

242222144143100 is a wasteful number, since it uses less digits than its factorization.

242222144143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54600208 (or 54600201 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 242222144143100 its reverse (1341441222242), we get a palindrome (243563585365342).

The spelling of 242222144143100 in words is "two hundred forty-two trillion, two hundred twenty-two billion, one hundred forty-four million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 109 110 148 185 218 220 275 370 407 436 545 550 740 814 925 1090 1100 1199 1628 1850 2035 2180 2398 2725 3700 4033 4070 4796 5450 5995 8066 8140 10175 10900 11990 16132 20165 20350 23980 29975 40330 40700 44363 59950 80660 88726 100825 119900 177452 201650 221815 403300 443630 887260 1109075 2218150 4436300 54600037 109200074 218400148 273000185 546000370 600600407 1092000740 1201200814 1365000925 2020201369 2402401628 2730001850 3003002035 4040402738 5460003700 5951404033 6006004070 8080805476 10101006845 11902808066 12012008140 15015010175 20202013690 22222215059 23805616132 29757020165 30030020350 40404027380 44444430118 50505034225 59514040330 60060040700 65465444363 88888860236 101010068450 111111075295 119028080660 130930888726 148785100825 202020136900 220201949221 222222150590 261861777452 297570201650 327327221815 440403898442 444444301180 555555376475 595140403300 654654443630 880807796884 1101009746105 1111110752950 1309308887260 1636636109075 2202019492210 2222221505900 2422221441431 3273272218150 4404038984420 4844442882862 5505048730525 6546544436300 9688885765724 11010097461050 12111107207155 22020194922100 24222214414310 48444428828620 60555536035775 121111072071550 242222144143100