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22128730 = 25131721931
BaseRepresentation
bin101010001101…
…0100001011010
31112122020220121
41110122201122
521131104410
62110143454
7356043151
oct124324132
945566817
1022128730
1111544708
1274b1b8a
13477a330
142d20598
151e219da
hex151a85a

22128730 has 96 divisors (see below), whose sum is σ = 49512960. Its totient is φ = 7050240.

The previous prime is 22128727. The next prime is 22128731. The reversal of 22128730 is 3782122.

It is a junction number, because it is equal to n+sod(n) for n = 22128695 and 22128704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22128731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713815 + ... + 713845.

It is an arithmetic number, because the mean of its divisors is an integer number (515760).

Almost surely, 222128730 is an apocalyptic number.

22128730 is an abundant number, since it is smaller than the sum of its proper divisors (27384230).

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

22128730 is a wasteful number, since it uses less digits than its factorization.

22128730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 22128730 is about 4704.1184083737. The cubic root of 22128730 is about 280.7493955800.

The spelling of 22128730 in words is "twenty-two million, one hundred twenty-eight thousand, seven hundred thirty".

Divisors: 1 2 5 10 13 17 19 26 31 34 38 62 65 85 95 130 155 170 190 221 247 289 310 323 403 442 494 527 578 589 646 806 1054 1105 1178 1235 1445 1615 2015 2210 2470 2635 2890 2945 3230 3757 4030 4199 5270 5491 5890 6851 7514 7657 8398 8959 10013 10982 13702 15314 17918 18785 20026 20995 27455 34255 37570 38285 41990 44795 50065 54910 68510 71383 76570 89590 100130 116467 130169 142766 170221 232934 260338 340442 356915 582335 650845 713830 851105 1164670 1301690 1702210 2212873 4425746 11064365 22128730