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22022224644144 = 24347591543107227
BaseRepresentation
bin1010000000111011100101…
…11000001000100000110000
32212222022012200220020221010
411000131302320020200300
510341303004002103034
6114500511554230520
74432024153623564
oct500356270104060
985868180806833
1022022224644144
117020633769a1a
12257807a585440
13c398c10a25ca
14561c4a6476a4
15282cae0683e9
hex140772e08830

22022224644144 has 160 divisors (see below), whose sum is σ = 59124798627840. Its totient is φ = 7058140298496.

The previous prime is 22022224644103. The next prime is 22022224644169. The reversal of 22022224644144 is 44144642222022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205325859 + ... + 205433085.

It is an arithmetic number, because the mean of its divisors is an integer number (369529991424).

Almost surely, 222022224644144 is an apocalyptic number.

22022224644144 is a gapful number since it is divisible by the number (24) 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 22022224644144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29562399313920).

22022224644144 is an abundant number, since it is smaller than the sum of its proper divisors (37102573983696).

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

22022224644144 is a wasteful number, since it uses less digits than its factorization.

22022224644144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108887 (or 108881 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 39.

Adding to 22022224644144 its reverse (44144642222022), we get a palindrome (66166866866166).

The spelling of 22022224644144 in words is "twenty-two trillion, twenty-two billion, two hundred twenty-four million, six hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 59 94 118 141 177 188 236 282 354 376 472 564 708 752 944 1128 1416 1543 2256 2773 2832 3086 4629 5546 6172 8319 9258 11092 12344 16638 18516 22184 24688 33276 37032 44368 66552 72521 74064 91037 107227 133104 145042 182074 214454 217563 273111 290084 321681 364148 428908 435126 546222 580168 643362 728296 857816 870252 1092444 1160336 1286724 1456592 1715632 1740504 2184888 2573448 3481008 4278739 4369776 5039669 5146896 6326393 8557478 10079338 12652786 12836217 15119007 17114956 18979179 20158676 25305572 25672434 30238014 34229912 37958358 40317352 50611144 51344868 60476028 68459824 75916716 80634704 101222288 102689736 120952056 151833432 165451261 205379472 241904112 297340471 303666864 330902522 496353783 594680942 661805044 892021413 992707566 1189361884 1323610088 1784042826 1985415132 2378723768 2647220176 3568085652 3970830264 4757447536 7136171304 7776209267 7941660528 9761624399 14272342608 15552418534 19523248798 23328627801 29284873197 31104837068 39046497596 46657255602 58569746394 62209674136 78092995192 93314511204 117139492788 124419348272 156185990384 186629022408 234278985576 373258044816 458796346753 468557971152 917592693506 1376389040259 1835185387012 2752778080518 3670370774024 5505556161036 7340741548048 11011112322072 22022224644144