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12229504 = 27713649
BaseRepresentation
bin101110101001…
…101110000000
3212000022201121
4232221232000
511112321004
61114042024
7205643350
oct56515600
925008647
1012229504
1169a3231
124119314
1326c25c1
1418a4b60
151118854
hexba9b80

12229504 has 32 divisors (see below), whose sum is σ = 27846000. Its totient is φ = 5240832.

The previous prime is 12229493. The next prime is 12229507. The reversal of 12229504 is 40592221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12229507) 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 3 ways as a sum of consecutive naturals, for example, 5929 + ... + 7720.

Almost surely, 212229504 is an apocalyptic number.

12229504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12229504 is an abundant number, since it is smaller than the sum of its proper divisors (15616496).

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

12229504 is an equidigital number, since it uses as much as digits as its factorization.

12229504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13670 (or 13658 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 12229504 is about 3497.0707742338. The cubic root of 12229504 is about 230.3931775243.

The spelling of 12229504 in words is "twelve million, two hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 13649 27298 54596 95543 109192 191086 218384 382172 436768 764344 873536 1528688 1747072 3057376 6114752 12229504