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22121602218 = 2321228977901
BaseRepresentation
bin10100100110100011…
…001101110010101010
32010002200200211100200
4110212203031302222
5330301112232333
614055034413030
71412123342052
oct244643156252
963080624320
1022121602218
119422082191
124354591176
1321170ba271
1410dbd96562
1589714dc13
hex5268cdcaa

22121602218 has 12 divisors (see below), whose sum is σ = 47930138178. Its totient is φ = 7373867400.

The previous prime is 22121602187. The next prime is 22121602219. The reversal of 22121602218 is 81220612122.

22121602218 is a `hidden beast` number, since 2 + 21 + 21 + 602 + 2 + 18 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18927430929 + 3194171289 = 137577^2 + 56517^2 .

It is a super-4 number, since 4×221216022184 (a number of 42 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22121602191 and 22121602200.

It is not an unprimeable number, because it can be changed into a prime (22121602219) 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 5 ways as a sum of consecutive naturals, for example, 614488933 + ... + 614488968.

Almost surely, 222121602218 is an apocalyptic number.

22121602218 is an abundant number, since it is smaller than the sum of its proper divisors (25808535960).

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

22121602218 is a wasteful number, since it uses less digits than its factorization.

22121602218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228977909 (or 1228977906 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 22121602218 in words is "twenty-two billion, one hundred twenty-one million, six hundred two thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 1228977901 2457955802 3686933703 7373867406 11060801109 22121602218