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2216643341040 = 243351026223769
BaseRepresentation
bin100000010000011010001…
…111010010101011110000
321211220112200111212021000
4200100122033102223300
5242304141143403130
64414151211402000
7316101326343162
oct40203217225360
97756480455230
102216643341040
11785089418497
122b9725453300
1313104a9cb82b
147940112c932
153c9d7677260
hex2041a3d2af0

2216643341040 has 80 divisors (see below), whose sum is σ = 7635104848800. Its totient is φ = 591104890368.

The previous prime is 2216643341023. The next prime is 2216643341083. The reversal of 2216643341040 is 401433466122.

2216643341040 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 643 + 3 + 4 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2216643340986 and 2216643341004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513109725 + ... + 513114044.

It is an arithmetic number, because the mean of its divisors is an integer number (95438810610).

Almost surely, 22216643341040 is an apocalyptic number.

2216643341040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2216643341040 is an abundant number, since it is smaller than the sum of its proper divisors (5418461507760).

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

2216643341040 is a wasteful number, since it uses less digits than its factorization.

2216643341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026223791 (or 1026223779 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2216643341040 in words is "two trillion, two hundred sixteen billion, six hundred forty-three million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1026223769 2052447538 3078671307 4104895076 5131118845 6157342614 8209790152 9236013921 10262237690 12314685228 15393356535 16419580304 18472027842 20524475380 24629370456 27708041763 30786713070 36944055684 41048950760 46180069605 49258740912 55416083526 61573426140 73888111368 82097901520 92360139210 110832167052 123146852280 138540208815 147776222736 184720278420 221664334104 246293704560 277080417630 369440556840 443328668208 554160835260 738881113680 1108321670520 2216643341040