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222214120000020 = 223252957417491677
BaseRepresentation
bin110010100001101001000001…
…101011111100101000010100
31002010210110111002111102100100
4302201221001223330220110
5213111224004210000040
62104335431335214100
764543304021661351
oct6241510153745024
91063713432442310
10222214120000020
116489352a6a2375
1220b0a703217330
1396cb91755bc35
143cc3313c05628
151aa5474cb0b30
hexca1a41afca14

222214120000020 has 72 divisors (see below), whose sum is σ = 674277449404104. Its totient is φ = 59237058924288.

The previous prime is 222214119999997. The next prime is 222214120000021. The reversal of 222214120000020 is 20000021412222.

It can be written as a sum of positive squares in 4 ways, for example, as 5209048487556 + 217005071512464 = 2282334^2 + 14731092^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222214119999948 and 222214120000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222214120000021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208213579 + ... + 209278098.

It is an arithmetic number, because the mean of its divisors is an integer number (9364964575057).

Almost surely, 2222214120000020 is an apocalyptic number.

222214120000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222214120000020 is an abundant number, since it is smaller than the sum of its proper divisors (452063329404084).

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

222214120000020 is a wasteful number, since it uses less digits than its factorization.

222214120000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417494649 (or 417494644 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222214120000020 its reverse (20000021412222), we get a palindrome (242214141412242).

The spelling of 222214120000020 in words is "two hundred twenty-two trillion, two hundred fourteen billion, one hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2957 5914 8871 11828 14785 17742 26613 29570 35484 44355 53226 59140 88710 106452 133065 177420 266130 532260 417491677 834983354 1252475031 1669966708 2087458385 2504950062 3757425093 4174916770 5009900124 6262375155 7514850186 8349833540 12524750310 15029700372 18787125465 25049500620 37574250930 75148501860 1234522888889 2469045777778 3703568666667 4938091555556 6172614444445 7407137333334 11110706000001 12345228888890 14814274666668 18517843333335 22221412000002 24690457777780 37035686666670 44442824000004 55553530000005 74071373333340 111107060000010 222214120000020