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22082670 = 23251311873
BaseRepresentation
bin101010000111…
…1010001101110
31112112220201200
41110033101232
521123121140
62105150330
7355461651
oct124172156
945486650
1022082670
1111513045
12748b3a6
13476238c
142d0b898
151e13030
hex150f46e

22082670 has 48 divisors (see below), whose sum is σ = 57884112. Its totient is φ = 5840640.

The previous prime is 22082657. The next prime is 22082681. The reversal of 22082670 is 7628022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10854 + ... + 12726.

It is an arithmetic number, because the mean of its divisors is an integer number (1205919).

Almost surely, 222082670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22082670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28942056).

22082670 is an abundant number, since it is smaller than the sum of its proper divisors (35801442).

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

22082670 is a wasteful number, since it uses less digits than its factorization.

22082670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22082670 is about 4699.2201480671. The cubic root of 22082670 is about 280.5544710099.

The spelling of 22082670 in words is "twenty-two million, eighty-two thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1873 1965 2358 3746 3930 5619 5895 9365 11238 11790 16857 18730 28095 33714 56190 84285 168570 245363 490726 736089 1226815 1472178 2208267 2453630 3680445 4416534 7360890 11041335 22082670