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241224 = 23319232
BaseRepresentation
bin111010111001001000
3110020220020
4322321020
530204344
65100440
72023164
oct727110
9406806
10241224
11155265
12b7720
1385a49
1463ca4
154b719
hex3ae48

241224 has 48 divisors (see below), whose sum is σ = 663600. Its totient is φ = 72864.

The previous prime is 241207. The next prime is 241229. The reversal of 241224 is 422142.

241224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (241229) by changing a digit.

241224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10477 + ... + 10499.

It is an arithmetic number, because the mean of its divisors is an integer number (13825).

2241224 is an apocalyptic number.

241224 is a gapful number since it is divisible by the number (24) 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 241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331800).

241224 is an abundant number, since it is smaller than the sum of its proper divisors (422376).

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

241224 is a wasteful number, since it uses less digits than its factorization.

241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 241224 is about 491.1455995934. The cubic root of 241224 is about 62.2501169334.

Adding to 241224 its reverse (422142), we get a palindrome (663366).

It can be divided in two parts, 241 and 224, that added together give a triangular number (465 = T30).

The spelling of 241224 in words is "two hundred forty-one thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 529 552 874 1058 1311 1587 1748 2116 2622 3174 3496 4232 5244 6348 10051 10488 12696 20102 30153 40204 60306 80408 120612 241224