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22083228 = 22323759281
BaseRepresentation
bin101010000111…
…1011010011100
31112112221111100
41110033122130
521123130403
62105153100
7355463406
oct124173234
945487440
1022083228
1111513502
12748b790
1347626cb
142d0bb76
151e132a3
hex150f69c

22083228 has 72 divisors (see below), whose sum is σ = 58509360. Its totient is φ = 7015680.

The previous prime is 22083211. The next prime is 22083233. The reversal of 22083228 is 82238022.

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, 78448 + ... + 78728.

It is an arithmetic number, because the mean of its divisors is an integer number (812630).

Almost surely, 222083228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22083228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29254680).

22083228 is an abundant number, since it is smaller than the sum of its proper divisors (36426132).

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

22083228 is a wasteful number, since it uses less digits than its factorization.

22083228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22083228 is about 4699.2795192455. The cubic root of 22083228 is about 280.5568340707.

The spelling of 22083228 in words is "twenty-two million, eighty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 111 118 148 177 222 236 281 333 354 444 531 562 666 708 843 1062 1124 1332 1686 2124 2183 2529 3372 4366 5058 6549 8732 10116 10397 13098 16579 19647 20794 26196 31191 33158 39294 41588 49737 62382 66316 78588 93573 99474 124764 149211 187146 198948 298422 374292 596844 613423 1226846 1840269 2453692 3680538 5520807 7361076 11041614 22083228