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22728332 = 22111931877
BaseRepresentation
bin101011010110…
…0111010001100
31120202201102002
41112230322030
521304301312
62131051432
7364121234
oct126547214
946681362
1022728332
1111914150
127740b78
13492a223
143038cc4
151ede4c2
hex15ace8c

22728332 has 48 divisors (see below), whose sum is σ = 47201280. Its totient is φ = 9460800.

The previous prime is 22728317. The next prime is 22728341. The reversal of 22728332 is 23382722.

It is a junction number, because it is equal to n+sod(n) for n = 22728295 and 22728304.

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 15 ways as a sum of consecutive naturals, for example, 25478 + ... + 26354.

It is an arithmetic number, because the mean of its divisors is an integer number (983360).

Almost surely, 222728332 is an apocalyptic number.

22728332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22728332 is an abundant number, since it is smaller than the sum of its proper divisors (24472948).

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

22728332 is a wasteful number, since it uses less digits than its factorization.

22728332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 940 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 22728332 is about 4767.4240423944. The cubic root of 22728332 is about 283.2625681019.

The spelling of 22728332 in words is "twenty-two million, seven hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 4 11 19 22 31 38 44 62 76 124 209 341 418 589 682 836 877 1178 1364 1754 2356 3508 6479 9647 12958 16663 19294 25916 27187 33326 38588 54374 66652 108748 183293 299057 366586 516553 598114 733172 1033106 1196228 2066212 5682083 11364166 22728332