Search a number
-
+
214221321110220 = 22355097014450593
BaseRepresentation
bin110000101101010101001001…
…101111111000001011001100
31001002111100200012021022121020
4300231111021233320023030
5211034300231201011340
62035335525532034140
763056660016251364
oct6055251157701314
91032440605238536
10214221321110220
1162291830034886
122003963b002950
13926bca3826438
143ac851dab39a4
1519b75c513c9d0
hexc2d549bf82cc

214221321110220 has 48 divisors (see below), whose sum is σ = 600998126893920. Its totient is φ = 57013454411776.

The previous prime is 214221321110183. The next prime is 214221321110231. The reversal of 214221321110220 is 22011123122412.

214221321110220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2142213211102203 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3507194757 + ... + 3507255836.

It is an arithmetic number, because the mean of its divisors is an integer number (12520794310290).

Almost surely, 2214221321110220 is an apocalyptic number.

214221321110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214221321110220 is an abundant number, since it is smaller than the sum of its proper divisors (386776805783700).

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

214221321110220 is a wasteful number, since it uses less digits than its factorization.

214221321110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014451114 (or 7014451112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 214221321110220 its reverse (22011123122412), we get a palindrome (236232444232632).

The spelling of 214221321110220 in words is "two hundred fourteen trillion, two hundred twenty-one billion, three hundred twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 509 1018 1527 2036 2545 3054 5090 6108 7635 10180 15270 30540 7014450593 14028901186 21043351779 28057802372 35072252965 42086703558 70144505930 84173407116 105216758895 140289011860 210433517790 420867035580 3570355351837 7140710703674 10711066055511 14281421407348 17851776759185 21422132111022 35703553518370 42844264222044 53555330277555 71407107036740 107110660555110 214221321110220