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22040420602240 = 275192821964231
BaseRepresentation
bin1010000001011101011110…
…11100001101000110000000
32220001001011210210200221001
411000232233130031012000
510342102240133232430
6114513121320541344
74433240112000235
oct500565734150600
986031153720831
1022040420602240
117028320923617
12257b6b8321854
13c3b530aa3511
14562a950c378c
152834c672d3ca
hex140baf70d180

22040420602240 has 128 divisors (see below), whose sum is σ = 55466387424000. Its totient is φ = 8351733381120.

The previous prime is 22040420602181. The next prime is 22040420602253. The reversal of 22040420602240 is 4220602404022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22040420602199 and 22040420602208.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 343110925 + ... + 343175155.

It is an arithmetic number, because the mean of its divisors is an integer number (433331151750).

Almost surely, 222040420602240 is an apocalyptic number.

22040420602240 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 22040420602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27733193712000).

22040420602240 is an abundant number, since it is smaller than the sum of its proper divisors (33425966821760).

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

22040420602240 is a wasteful number, since it uses less digits than its factorization.

22040420602240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92488 (or 92476 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The spelling of 22040420602240 in words is "twenty-two trillion, forty billion, four hundred twenty million, six hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 28219 56438 64231 112876 128462 141095 225752 256924 282190 321155 451504 513848 536161 564380 642310 903008 1027696 1072322 1128760 1220389 1284620 1806016 2055392 2144644 2257520 2440778 2569240 2680805 3612032 4110784 4289288 4515040 4881556 5138480 5361610 6101945 8221568 8578576 9030080 9763112 10276960 10723220 12203890 17157152 18060160 19526224 20553920 21446440 24407780 34314304 39052448 41107840 42892880 48815560 68628608 78104896 85785760 97631120 156209792 171571520 195262240 343143040 390524480 781048960 1812534589 3625069178 7250138356 9062672945 14500276712 18125345890 29000553424 34438157191 36250691780 58001106848 68876314382 72501383560 116002213696 137752628764 145002767120 172190785955 232004427392 275505257528 290005534240 344381571910 551010515056 580011068480 688763143820 1102021030112 1160022136960 1377526287640 2204042060224 2755052575280 4408084120448 5510105150560 11020210301120 22040420602240