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12293204 = 22711167239
BaseRepresentation
bin101110111001…
…010001010100
3212010120002212
4232321101110
511121340304
61115252552
7206330150
oct56712124
925116085
1012293204
116a37080
12414a158
1327155b1
1418c0060
15112c66e
hexbb9454

12293204 has 48 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 4740960.

The previous prime is 12293189. The next prime is 12293221. The reversal of 12293204 is 40239221.

12293204 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 2×122932042 = 302245729171232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12293204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51317 + ... + 51555.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 212293204 is an apocalyptic number.

12293204 is a gapful number since it is divisible by the number (14) 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 12293204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

12293204 is an abundant number, since it is smaller than the sum of its proper divisors (14801836).

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

12293204 is a wasteful number, since it uses less digits than its factorization.

12293204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 12293204 is about 3506.1665676348. The cubic root of 12293204 is about 230.7925024622.

The spelling of 12293204 in words is "twelve million, two hundred ninety-three thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 239 308 334 478 668 956 1169 1673 1837 2338 2629 3346 3674 4676 5258 6692 7348 10516 12859 18403 25718 36806 39913 51436 73612 79826 159652 279391 439043 558782 878086 1117564 1756172 3073301 6146602 12293204