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12235104 = 253372172
BaseRepresentation
bin101110101011…
…000101100000
3212000121102000
4232223011200
511113010404
61114124000
7205665600
oct56530540
925017360
1012235104
1169a7462
124120600
1326c500b
1418a6c00
15111a339
hexbab160

12235104 has 216 divisors, whose sum is σ = 44097480. Its totient is φ = 3290112.

The previous prime is 12235099. The next prime is 12235109. The reversal of 12235104 is 40153221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (12235099) and next prime (12235109).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12235109) 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 35 ways as a sum of consecutive naturals, for example, 719704 + ... + 719720.

It is an arithmetic number, because the mean of its divisors is an integer number (204155).

Almost surely, 212235104 is an apocalyptic number.

12235104 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 12235104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22048740).

12235104 is an abundant number, since it is smaller than the sum of its proper divisors (31862376).

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

12235104 is a wasteful number, since it uses less digits than its factorization.

12235104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12235104 is about 3497.8713526944. The cubic root of 12235104 is about 230.4283385282.

Adding to 12235104 its reverse (40153221), we get a palindrome (52388325).

The spelling of 12235104 in words is "twelve million, two hundred thirty-five thousand, one hundred four".