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22206066289 = 112192232312
BaseRepresentation
bin10100101011100101…
…011010111001110001
32010022120122001021121
4110223211122321301
5330434223110124
614111253022241
71414200310021
oct245345327161
963276561247
1022206066289
119465822300
124378924981
13212b7514c4
1411092a1a81
1589e7852e4
hex52b95ae71

22206066289 has 81 divisors (see below), whose sum is σ = 27826013817. Its totient is φ = 17703219600.

The previous prime is 22206066277. The next prime is 22206066301. The reversal of 22206066289 is 98266060222.

The square root of 22206066289 is 149017.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (22206066277) and next prime (22206066301).

It is not a de Polignac number, because 22206066289 - 217 = 22205935217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22206066089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 716324704 + ... + 716324734.

Almost surely, 222206066289 is an apocalyptic number.

22206066289 is the 149017-th square number.

22206066289 is the 74509-th centered octagonal number.

It is an amenable number.

22206066289 is a deficient number, since it is larger than the sum of its proper divisors (5619947528).

22206066289 is a wasteful number, since it uses less digits than its factorization.

22206066289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 22206066289 in words is "twenty-two billion, two hundred six million, sixty-six thousand, two hundred eighty-nine".

Divisors: 1 11 19 23 31 121 209 253 341 361 437 529 589 713 961 2299 2783 3751 3971 4807 5819 6479 7843 8303 10051 10571 11191 13547 16399 18259 22103 43681 52877 64009 71269 86273 91333 110561 116281 123101 149017 180389 190969 200849 243133 257393 311581 346921 419957 508369 1004663 1216171 1354111 1639187 1984279 2100659 2209339 2674463 2831323 3427391 3816131 4619527 5592059 5920039 7979183 9659011 23107249 31144553 37701301 41977441 50814797 61512649 65120429 87771013 106249121 183521209 716324719 965481143 1168740331 2018733299 22206066289