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22322011200020 = 22572311037133593
BaseRepresentation
bin1010001001101001111111…
…00011000101101000010100
32221000222000100012012101022
411010310333203011220110
510411210434331400040
6115250331304420312
74462466150406200
oct504647743055024
987028010165338
1022322011200020
117126791430514
1226061a4477698
13c5bc5891a7cc
145725692a7b00
1528a9a7b146b5
hex144d3f8c5a14

22322011200020 has 144 divisors (see below), whose sum is σ = 56834998391808. Its totient is φ = 7334473950720.

The previous prime is 22322011200007. The next prime is 22322011200043. The reversal of 22322011200020 is 2000211022322.

It is a super-3 number, since 3×223220112000203 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437657 + ... + 6695936.

It is an arithmetic number, because the mean of its divisors is an integer number (394687488832).

Almost surely, 222322011200020 is an apocalyptic number.

22322011200020 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 22322011200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28417499195904).

22322011200020 is an abundant number, since it is smaller than the sum of its proper divisors (34512987191788).

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

22322011200020 is a wasteful number, since it uses less digits than its factorization.

22322011200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133750 (or 7133741 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22322011200020 its reverse (2000211022322), we get a palindrome (24322222222342).

The spelling of 22322011200020 in words is "twenty-two trillion, three hundred twenty-two billion, eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 103 124 140 155 196 206 217 245 310 412 434 490 515 620 721 868 980 1030 1085 1442 1519 2060 2170 2884 3038 3193 3605 4340 5047 6076 6386 7210 7595 10094 12772 14420 15190 15965 20188 22351 25235 30380 31930 44702 50470 63860 89404 100940 111755 156457 223510 312914 447020 625828 782285 1564570 3129140 7133593 14267186 28534372 35667965 49935151 71335930 99870302 142671860 199740604 221141383 249675755 349546057 442282766 499351510 699092114 734760079 884565532 998703020 1105706915 1398184228 1469520158 1547989681 1747730285 2211413830 2939040316 3095979362 3495460570 3673800395 4422827660 5143320553 6191958724 6990921140 7347600790 7739948405 10286641106 10835927767 14695201580 15479896810 20573282212 21671855534 22777562449 25716602765 30959793620 36003243871 43343711068 45555124898 51433205530 54179638835 72006487742 91110249796 102866411060 108359277670 113887812245 144012975484 159442937143 180016219355 216718555340 227775624490 318885874286 360032438710 455551248980 637771748572 720064877420 797214685715 1116100560001 1594429371430 2232201120002 3188858742860 4464402240004 5580502800005 11161005600010 22322011200020