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12213936 = 243372577
BaseRepresentation
bin101110100101…
…111010110000
3211222112101000
4232211322300
511111321221
61113442000
7205550100
oct56457260
924875330
1012213936
116992569
124110300
1326b84a7
14189d200
151113e26
hexba5eb0

12213936 has 120 divisors (see below), whose sum is σ = 40853040. Its totient is φ = 3483648.

The previous prime is 12213931. The next prime is 12213947. The reversal of 12213936 is 63931221.

It is a super-2 number, since 2×122139362 = 298360465224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20880 + ... + 21456.

It is an arithmetic number, because the mean of its divisors is an integer number (340442).

Almost surely, 212213936 is an apocalyptic number.

12213936 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 12213936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20426520).

12213936 is an abundant number, since it is smaller than the sum of its proper divisors (28639104).

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

12213936 is a wasteful number, since it uses less digits than its factorization.

12213936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 589 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12213936 is about 3494.8442025361. The cubic root of 12213936 is about 230.2953735024.

The spelling of 12213936 in words is "twelve million, two hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 577 588 756 784 882 1008 1154 1176 1323 1512 1731 1764 2308 2352 2646 3024 3462 3528 4039 4616 5193 5292 6924 7056 8078 9232 10386 10584 12117 13848 15579 16156 20772 21168 24234 27696 28273 31158 32312 36351 41544 48468 56546 62316 64624 72702 83088 84819 96936 109053 113092 124632 145404 169638 193872 218106 226184 249264 254457 290808 339276 436212 452368 508914 581616 678552 763371 872424 1017828 1357104 1526742 1744848 2035656 3053484 4071312 6106968 12213936