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12224016 = 2432767181
BaseRepresentation
bin101110101000…
…011000010000
3212000001012100
4232220120100
511112132031
61114000400
7205621350
oct56503020
925001170
1012224016
11699a0a2
124116100
1326bcc5c
1418a2b60
151116de6
hexba8610

12224016 has 120 divisors (see below), whose sum is σ = 39900224. Its totient is φ = 3421440.

The previous prime is 12223987. The next prime is 12224021. The reversal of 12224016 is 61042221.

12224016 = 953 + 963 + ... + 1063.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 12224016.

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, 67446 + ... + 67626.

Almost surely, 212224016 is an apocalyptic number.

12224016 is a gapful number since it is divisible by the number (16) 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 12224016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19950112).

12224016 is an abundant number, since it is smaller than the sum of its proper divisors (27676208).

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

12224016 is a wasteful number, since it uses less digits than its factorization.

12224016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12224016 is about 3496.2860294890. The cubic root of 12224016 is about 230.3587093252.

Adding to 12224016 its reverse (61042221), we get a palindrome (73266237).

The spelling of 12224016 in words is "twelve million, two hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 181 201 252 268 336 362 402 469 504 536 543 603 724 804 938 1008 1072 1086 1206 1267 1407 1448 1608 1629 1876 2172 2412 2534 2814 2896 3216 3258 3752 3801 4221 4344 4824 5068 5628 6516 7504 7602 8442 8688 9648 10136 11256 11403 12127 13032 15204 16884 20272 22512 22806 24254 26064 30408 33768 36381 45612 48508 60816 67536 72762 84889 91224 97016 109143 145524 169778 182448 194032 218286 254667 291048 339556 436572 509334 582096 679112 764001 873144 1018668 1358224 1528002 1746288 2037336 3056004 4074672 6112008 12224016