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12231648 = 253511213
BaseRepresentation
bin101110101010…
…001111100000
3212000102200000
4232222033200
511112403043
61114100000
7205652532
oct56521740
925012600
1012231648
1169a4900
12411a600
1326c3580
1418a5852
1511192d3
hexbaa3e0

12231648 has 216 divisors, whose sum is σ = 42699384. Its totient is φ = 3421440.

The previous prime is 12231647. The next prime is 12231671. The reversal of 12231648 is 84613221.

12231648 is a `hidden beast` number, since 12 + 2 + 3 + 1 + 648 = 666.

12231648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×122316482 = 299226425591808, which contains 22 as substring.

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

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 (12231643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940890 + ... + 940902.

Almost surely, 212231648 is an apocalyptic number.

12231648 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 12231648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349692).

12231648 is an abundant number, since it is smaller than the sum of its proper divisors (30467736).

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

12231648 is a wasteful number, since it uses less digits than its factorization.

12231648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12231648 is about 3497.3773030658. The cubic root of 12231648 is about 230.4066404336.

Adding to 12231648 its reverse (84613221), we get a palindrome (96844869).

The spelling of 12231648 in words is "twelve million, two hundred thirty-one thousand, six hundred forty-eight".