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22048560 = 24325113271
BaseRepresentation
bin101010000011…
…0111100110000
31112111011221100
41110012330300
521121023220
62104324400
7355260342
oct124067460
945434840
1022048560
111149a456
127473700
13474c9b1
142cdd292
151e07d90
hex1506f30

22048560 has 120 divisors (see below), whose sum is σ = 74977344. Its totient is φ = 5806080.

The previous prime is 22048549. The next prime is 22048589. The reversal of 22048560 is 6584022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×220485602 = 972277996147200, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 81225 + ... + 81495.

Almost surely, 222048560 is an apocalyptic number.

22048560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37488672).

22048560 is an abundant number, since it is smaller than the sum of its proper divisors (52928784).

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

22048560 is a wasteful number, since it uses less digits than its factorization.

22048560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22048560 is about 4695.5894198705. The cubic root of 22048560 is about 280.4099437324.

The spelling of 22048560 in words is "twenty-two million, forty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 271 339 360 452 542 565 678 720 813 904 1017 1084 1130 1355 1356 1626 1695 1808 2034 2168 2260 2439 2710 2712 3252 3390 4065 4068 4336 4520 4878 5085 5420 5424 6504 6780 8130 8136 9040 9756 10170 10840 12195 13008 13560 16260 16272 19512 20340 21680 24390 27120 30623 32520 39024 40680 48780 61246 65040 81360 91869 97560 122492 153115 183738 195120 244984 275607 306230 367476 459345 489968 551214 612460 734952 918690 1102428 1224920 1378035 1469904 1837380 2204856 2449840 2756070 3674760 4409712 5512140 7349520 11024280 22048560