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222145021045200 = 243521116829168261
BaseRepresentation
bin110010100000101000101011…
…000100010110100111010000
31002010112212010110121211002110
4302200220223010112213100
5213104111000341421300
62104244002552545320
764535306465362521
oct6240505304264720
91063485113554073
10222145021045200
11648671a1086940
1220ab923a0b2240
1396c52549b5916
143cbdc3ab3c848
151aa377d836550
hexca0a2b1169d0

222145021045200 has 120 divisors (see below), whose sum is σ = 776295873589536. Its totient is φ = 53853338432000.

The previous prime is 222145021045163. The next prime is 222145021045201. The reversal of 222145021045200 is 2540120541222.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222145021045201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8414570931 + ... + 8414597330.

Almost surely, 2222145021045200 is an apocalyptic number.

222145021045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222145021045200 is an abundant number, since it is smaller than the sum of its proper divisors (554150852544336).

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

222145021045200 is a wasteful number, since it uses less digits than its factorization.

222145021045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16829168293 (or 16829168282 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 222145021045200 its reverse (2540120541222), we get a palindrome (224685141586422).

The spelling of 222145021045200 in words is "two hundred twenty-two trillion, one hundred forty-five billion, twenty-one million, forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 16829168261 33658336522 50487504783 67316673044 84145841305 100975009566 134633346088 168291682610 185120850871 201950019132 252437523915 269266692176 336583365220 370241701742 403900038264 420729206525 504875047830 555362552613 673166730440 740483403484 807800076528 841458413050 925604254355 1009750095660 1110725105226 1262187619575 1346333460880 1480966806968 1682916826100 1851208508710 2019500191320 2221450210452 2524375239150 2776812763065 2961933613936 3365833652200 3702417017420 4039000382640 4442900420904 4628021271775 5048750478300 5553625526130 6731667304400 7404834034840 8885800841808 9256042543550 10097500956600 11107251052260 13884063815325 14809668069680 18512085087100 20195001913200 22214502104520 27768127630650 37024170174200 44429004209040 55536255261300 74048340348400 111072510522600 222145021045200