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222102222201222 = 231121938115784837
BaseRepresentation
bin110010100000000000110100…
…000011101110000110000110
31002010101202122202001021102220
4302200000310003232012012
5213102410322340414342
62104212204033113210
764532233054246656
oct6240006403560606
91063352582037386
10222102222201222
116485002926aa00
1220ab0a949b8806
1396c11c3b1c37c
143cbbb3a96c366
151aa25c62925ec
hexca00340ee186

222102222201222 has 48 divisors (see below), whose sum is σ = 488283001265136. Its totient is φ = 67300226769600.

The previous prime is 222102222201199. The next prime is 222102222201227.

222102222201222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222102222201192 and 222102222201201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222102222201227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6178188 + ... + 21963024.

It is an arithmetic number, because the mean of its divisors is an integer number (10172562526357).

Almost surely, 2222102222201222 is an apocalyptic number.

222102222201222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222102222201222 is an abundant number, since it is smaller than the sum of its proper divisors (266180779063914).

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

222102222201222 is a wasteful number, since it uses less digits than its factorization.

222102222201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15804245 (or 15804234 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 222102222201222 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 19381 38762 58143 116286 213191 426382 639573 1279146 2345101 4690202 7035303 14070606 15784837 31569674 47354511 94709022 173633207 347266414 520899621 1041799242 1909965277 3819930554 5729895831 11459791662 305925925897 611851851794 917777777691 1835555555382 3365185184867 6730370369734 10095555554601 20191111109202 37017037033537 74034074067074 111051111100611 222102222201222