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12282270 = 23571113409
BaseRepresentation
bin101110110110…
…100110011110
3212010000002220
4232312212132
511121013040
61115130210
7206253240
oct56664636
925100086
1012282270
116a29940
124143966
132710620
1418ba090
1511292d0
hexbb699e

12282270 has 128 divisors (see below), whose sum is σ = 39674880. Its totient is φ = 2350080.

The previous prime is 12282269. The next prime is 12282311. The reversal of 12282270 is 7228221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12282270.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29826 + ... + 30234.

It is an arithmetic number, because the mean of its divisors is an integer number (309960).

Almost surely, 212282270 is an apocalyptic number.

12282270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12282270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

12282270 is an abundant number, since it is smaller than the sum of its proper divisors (27392610).

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

12282270 is a wasteful number, since it uses less digits than its factorization.

12282270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450.

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 12282270 is about 3504.6069679780. The cubic root of 12282270 is about 230.7240572261.

It can be divided in two parts, 12 and 282270, that added together give a palindrome (282282).

The spelling of 12282270 in words is "twelve million, two hundred eighty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 409 429 455 462 546 715 770 818 858 910 1001 1155 1227 1365 1430 2002 2045 2145 2310 2454 2730 2863 3003 4090 4290 4499 5005 5317 5726 6006 6135 8589 8998 10010 10634 12270 13497 14315 15015 15951 17178 22495 26585 26994 28630 30030 31493 31902 37219 42945 44990 53170 58487 62986 67485 74438 79755 85890 94479 111657 116974 134970 157465 159510 175461 186095 188958 223314 292435 314930 350922 372190 409409 472395 558285 584870 818818 877305 944790 1116570 1228227 1754610 2047045 2456454 4094090 6141135 12282270