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22191167089 = 7213216372
BaseRepresentation
bin10100101010101100…
…100101011001110001
32010021112121002102101
4110222230211121301
5330421414321324
614110001420401
71413626544100
oct245254453161
963245532371
1022191167089
119458376313
12437393a701
132128635a00
141107304037
1589d2e0944
hex52ab25671

22191167089 has 27 divisors (see below), whose sum is σ = 27969756417. Its totient is φ = 17547120864.

The previous prime is 22191167087. The next prime is 22191167093. The reversal of 22191167089 is 98076119122.

The square root of 22191167089 is 148967.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15733437489 + 6457729600 = 125433^2 + 80360^2 .

It is not a de Polignac number, because 22191167089 - 21 = 22191167087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22191167081) 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 26 ways as a sum of consecutive naturals, for example, 13555179 + ... + 13556815.

Almost surely, 222191167089 is an apocalyptic number.

22191167089 is the 148967-th square number.

22191167089 is the 74484-th centered octagonal number.

It is an amenable number.

22191167089 is a deficient number, since it is larger than the sum of its proper divisors (5778589328).

22191167089 is an frugal number, since it uses more digits than its factorization.

22191167089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 46.

The spelling of 22191167089 in words is "twenty-two billion, one hundred ninety-one million, one hundred sixty-seven thousand, eighty-nine".

Divisors: 1 7 13 49 91 169 637 1183 1637 8281 11459 21281 80213 148967 276653 1042769 1936571 2679769 13555997 18758383 34836997 131308681 243858979 452880961 1707012853 3170166727 22191167089