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12224916 = 22321130871
BaseRepresentation
bin101110101000…
…100110010100
3212000002102200
4232220212110
511112144131
61114004500
7205624104
oct56504624
925002380
1012224916
11699a840
124116730
1326c04a2
1418a3204
1511172e6
hexba8994

12224916 has 36 divisors (see below), whose sum is σ = 33712224. Its totient is φ = 3704400.

The previous prime is 12224897. The next prime is 12224917. The reversal of 12224916 is 61942221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12224916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224917) by changing a digit.

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, 15040 + ... + 15831.

Almost surely, 212224916 is an apocalyptic number.

It is an amenable number.

12224916 is an abundant number, since it is smaller than the sum of its proper divisors (21487308).

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

12224916 is a wasteful number, since it uses less digits than its factorization.

12224916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30892 (or 30887 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 12224916 is about 3496.4147351251. The cubic root of 12224916 is about 230.3643626159.

It can be divided in two parts, 122249 and 16, that added together give a triangular number (122265 = T494).

The spelling of 12224916 in words is "twelve million, two hundred twenty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 30871 61742 92613 123484 185226 277839 339581 370452 555678 679162 1018743 1111356 1358324 2037486 3056229 4074972 6112458 12224916