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12293208 = 233461311
BaseRepresentation
bin101110111001…
…010001011000
3212010120010000
4232321101120
511121340313
61115253000
7206330154
oct56712130
925116100
1012293208
116a37084
12414a160
1327155b5
1418c0064
15112c673
hexbb9458

12293208 has 80 divisors (see below), whose sum is σ = 35109360. Its totient is φ = 4017600.

The previous prime is 12293189. The next prime is 12293221. The reversal of 12293208 is 80239221.

It is a happy number.

12293208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122932082 = 302245925862528, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39373 + ... + 39683.

It is an arithmetic number, because the mean of its divisors is an integer number (438867).

Almost surely, 212293208 is an apocalyptic number.

12293208 is a gapful number since it is divisible by the number (18) 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 12293208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554680).

12293208 is an abundant number, since it is smaller than the sum of its proper divisors (22816152).

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

12293208 is a wasteful number, since it uses less digits than its factorization.

12293208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

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

The square root of 12293208 is about 3506.1671380583. The cubic root of 12293208 is about 230.7925274942.

The spelling of 12293208 in words is "twelve million, two hundred ninety-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 311 324 366 488 549 622 648 732 933 1098 1244 1464 1647 1866 2196 2488 2799 3294 3732 4392 4941 5598 6588 7464 8397 9882 11196 13176 16794 18971 19764 22392 25191 33588 37942 39528 50382 56913 67176 75884 100764 113826 151768 170739 201528 227652 341478 455304 512217 682956 1024434 1365912 1536651 2048868 3073302 4097736 6146604 12293208