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22342312344220 = 2251141109122081
BaseRepresentation
bin1010001010001111110011…
…00101110011101010011100
32221002220102011101011210221
411011013321211303222130
510412024023430003340
6115303525552411124
74464115220316421
oct505077145635234
987086364334727
1022342312344220
117134359945640
12260a10b246aa4
13c60b42803c7b
1457353357dd48
1528b29501844a
hex1451f9973a9c

22342312344220 has 144 divisors (see below), whose sum is σ = 52505923988448. Its totient is φ = 7915248640000.

The previous prime is 22342312344173. The next prime is 22342312344221. The reversal of 22342312344220 is 2244321324322.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22342312344221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10736333580 + ... + 10736335660.

It is an arithmetic number, because the mean of its divisors is an integer number (364624472142).

Almost surely, 222342312344220 is an apocalyptic number.

22342312344220 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 22342312344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26252961994224).

22342312344220 is an abundant number, since it is smaller than the sum of its proper divisors (30163611644228).

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

22342312344220 is a wasteful number, since it uses less digits than its factorization.

22342312344220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 22342312344220 its reverse (2244321324322), we get a palindrome (24586633668542).

The spelling of 22342312344220 in words is "twenty-two trillion, three hundred forty-two billion, three hundred twelve million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1091 1804 2081 2182 2255 4162 4364 4510 5455 8324 9020 10405 10910 12001 20810 21820 22891 24002 41620 44731 45782 48004 60005 85321 89462 91564 114455 120010 170642 178924 223655 228910 240020 341284 426605 447310 457820 492041 853210 894620 938531 984082 1190281 1706420 1877062 1968164 2270371 2380562 2460205 3754124 4540742 4692655 4761124 4920410 5951405 9081484 9385310 9840820 11351855 11902810 13093091 18770620 22703710 23805620 24974081 26186182 45407420 48801521 49948162 52372364 65465455 93085211 97603042 99896324 124870405 130930910 186170422 195206084 244007605 249740810 261861820 372340844 465426055 488015210 499481620 536816731 930852110 976030420 1023937321 1073633462 1861704220 2047874642 2147266924 2476974761 2684083655 4095749284 4953949522 5119686605 5368167310 9907899044 10239373210 10736334620 12384873805 20478746420 24769747610 27246722371 49539495220 54493444742 101555965201 108986889484 136233611855 203111930402 272467223710 406223860804 507779826005 544934447420 1015559652010 1117115617211 2031119304020 2234231234422 4468462468844 5585578086055 11171156172110 22342312344220