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222122211000219 = 32151239296830429
BaseRepresentation
bin110010100000010011011011…
…011110111011111110011011
31002010110200020210111110210200
4302200103123132323332123
5213103222242004001334
62104225311322313243
764533541312242615
oct6240233336737633
91063420223443720
10222122211000219
11648585564394a2
1220ab4933058823
1396c305b0a489a
143cbcab5579db5
151aa2d96049799
hexca04db7bbf9b

222122211000219 has 24 divisors (see below), whose sum is σ = 322981527242400. Its totient is φ = 147094633065600.

The previous prime is 222122211000121. The next prime is 222122211000227. The reversal of 222122211000219 is 912000112221222.

222122211000219 is a `hidden beast` number, since 2 + 2 + 212 + 221 + 10 + 0 + 0 + 219 = 666.

It is not a de Polignac number, because 222122211000219 - 217 = 222122210869147 is a prime.

It is a super-2 number, since 2×2221222110002192 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222122211000192 and 222122211000201.

It is not an unprimeable number, because it can be changed into a prime (222122211001219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29104297 + ... + 35934725.

It is an arithmetic number, because the mean of its divisors is an integer number (13457563635100).

Almost surely, 2222122211000219 is an apocalyptic number.

222122211000219 is a deficient number, since it is larger than the sum of its proper divisors (100859316242181).

222122211000219 is a wasteful number, since it uses less digits than its factorization.

222122211000219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854515 (or 6854512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 222122211000219 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred nineteen", and thus it is an aban number.

Divisors: 1 3 9 151 453 1359 23929 71787 215361 3613279 6830429 10839837 20491287 32519511 61473861 1031394779 3094184337 9282553011 163445335541 490336006623 1471008019869 24680245666691 74040737000073 222122211000219