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12422016 = 273241263
BaseRepresentation
bin101111011000…
…101110000000
3212101002210200
4233120232000
511140001031
61122125200
7210404535
oct57305600
925332720
1012422016
117014932
1241b0800
13275c109
141914d8c
1511558e6
hexbd8b80

12422016 has 96 divisors (see below), whose sum is σ = 36756720. Its totient is φ = 4024320.

The previous prime is 12422009. The next prime is 12422023. The reversal of 12422016 is 61022421.

It is an interprime number because it is at equal distance from previous prime (12422009) and next prime (12422023).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12422016.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 47101 + ... + 47363.

Almost surely, 212422016 is an apocalyptic number.

12422016 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 12422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360).

12422016 is an abundant number, since it is smaller than the sum of its proper divisors (24334704).

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

12422016 is a wasteful number, since it uses less digits than its factorization.

12422016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

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

The square root of 12422016 is about 3524.4880479298. The cubic root of 12422016 is about 231.5958083127.

Adding to 12422016 its reverse (61022421), we get a palindrome (73444437).

The spelling of 12422016 in words is "twelve million, four hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 263 288 328 369 384 492 526 576 656 738 789 984 1052 1152 1312 1476 1578 1968 2104 2367 2624 2952 3156 3936 4208 4734 5248 5904 6312 7872 8416 9468 10783 11808 12624 15744 16832 18936 21566 23616 25248 32349 33664 37872 43132 47232 50496 64698 75744 86264 97047 100992 129396 151488 172528 194094 258792 302976 345056 388188 517584 690112 776376 1035168 1380224 1552752 2070336 3105504 4140672 6211008 12422016