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12216288 = 2537453
BaseRepresentation
bin101110100110…
…011111100000
3211222122121010
4232212133200
511111410123
61113500520
7205560000
oct56463740
924878533
1012216288
116994307
124111740
1326b9596
1418a0000
151114993
hexba67e0

12216288 has 120 divisors (see below), whose sum is σ = 38116008. Its totient is φ = 3424512.

The previous prime is 12216283. The next prime is 12216299. The reversal of 12216288 is 88261221.

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 (12216283) 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 19 ways as a sum of consecutive naturals, for example, 230470 + ... + 230522.

Almost surely, 212216288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058004).

12216288 is an abundant number, since it is smaller than the sum of its proper divisors (25899720).

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

12216288 is an frugal number, since it uses more digits than its factorization.

12216288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 12216288 is about 3495.1806820249. The cubic root of 12216288 is about 230.3101549770.

The spelling of 12216288 in words is "twelve million, two hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 84 96 98 106 112 147 159 168 196 212 224 294 318 336 343 371 392 424 588 636 672 686 742 784 848 1029 1113 1176 1272 1372 1484 1568 1696 2058 2226 2352 2401 2544 2597 2744 2968 4116 4452 4704 4802 5088 5194 5488 5936 7203 7791 8232 8904 9604 10388 10976 11872 14406 15582 16464 17808 18179 19208 20776 28812 31164 32928 35616 36358 38416 41552 54537 57624 62328 72716 76832 83104 109074 115248 124656 127253 145432 218148 230496 249312 254506 290864 381759 436296 509012 581728 763518 872592 1018024 1527036 1745184 2036048 3054072 4072096 6108144 12216288