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22057035 = 35711132113
BaseRepresentation
bin101010000100…
…1000001001011
31112111121120020
41110021001023
521121311120
62104431523
7355324140
oct124110113
945447506
1022057035
11114a5860
1274785a3
134753800
142d023c7
151e0a640
hex150904b

22057035 has 96 divisors (see below), whose sum is σ = 48066048. Its totient is φ = 8386560.

The previous prime is 22057033. The next prime is 22057039. The reversal of 22057035 is 53075022.

It is not a de Polignac number, because 22057035 - 21 = 22057033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22056996 and 22057014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22057031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195139 + ... + 195251.

It is an arithmetic number, because the mean of its divisors is an integer number (500688).

Almost surely, 222057035 is an apocalyptic number.

22057035 is an abundant number, since it is smaller than the sum of its proper divisors (26009013).

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

22057035 is a wasteful number, since it uses less digits than its factorization.

22057035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 22057035 is about 4696.4917757833. The cubic root of 22057035 is about 280.4458670134.

The spelling of 22057035 in words is "twenty-two million, fifty-seven thousand, thirty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 113 143 165 169 195 231 273 339 385 429 455 507 565 715 791 845 1001 1155 1183 1243 1365 1469 1695 1859 2145 2373 2535 3003 3549 3729 3955 4407 5005 5577 5915 6215 7345 8701 9295 10283 11865 13013 15015 16159 17745 18645 19097 22035 26103 27885 30849 39039 43505 48477 51415 57291 65065 80795 95485 113113 130515 133679 154245 195195 210067 242385 286455 339339 401037 565565 630201 668395 1050335 1470469 1696695 2005185 3151005 4411407 7352345 22057035