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13222560 = 2535132163
BaseRepresentation
bin110010011100…
…001010100000
3220212202221110
4302130022200
511341110220
61151223320
7220250511
oct62341240
926782843
1013222560
11751133a
124517b40
13297c600
141a82a08
151262be0
hexc9c2a0

13222560 has 144 divisors (see below), whose sum is σ = 45378144. Its totient is φ = 3234816.

The previous prime is 13222553. The next prime is 13222571. The reversal of 13222560 is 6522231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81039 + ... + 81201.

It is an arithmetic number, because the mean of its divisors is an integer number (315126).

Almost surely, 213222560 is an apocalyptic number.

13222560 is a gapful number since it is divisible by the number (10) 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 13222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22689072).

13222560 is an abundant number, since it is smaller than the sum of its proper divisors (32155584).

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

13222560 is a wasteful number, since it uses less digits than its factorization.

13222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13222560 is about 3636.2838173058. The cubic root of 13222560 is about 236.4677117427.

Adding to 13222560 its reverse (6522231), we get a palindrome (19744791).

The spelling of 13222560 in words is "thirteen million, two hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 163 169 195 208 240 260 312 326 338 390 416 480 489 507 520 624 652 676 780 815 845 978 1014 1040 1248 1304 1352 1560 1630 1690 1956 2028 2080 2119 2445 2535 2608 2704 3120 3260 3380 3912 4056 4238 4890 5070 5216 5408 6240 6357 6520 6760 7824 8112 8476 9780 10140 10595 12714 13040 13520 15648 16224 16952 19560 20280 21190 25428 26080 27040 27547 31785 33904 39120 40560 42380 50856 55094 63570 67808 78240 81120 82641 84760 101712 110188 127140 137735 165282 169520 203424 220376 254280 275470 330564 339040 413205 440752 508560 550940 661128 826410 881504 1017120 1101880 1322256 1652820 2203760 2644512 3305640 4407520 6611280 13222560