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12217248 = 253259719
BaseRepresentation
bin101110100110…
…101110100000
3211222200220200
4232212232200
511111422443
61113505200
7205562541
oct56465640
924880820
1012217248
116994aaa
124112200
1326b9b54
1418a04c8
151114dd3
hexba6ba0

12217248 has 72 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 3997824.

The previous prime is 12217241. The next prime is 12217277. The reversal of 12217248 is 84271221.

12217248 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 (72).

It is a super-2 number, since 2×122172482 = 298522297387008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12217241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16633 + ... + 17351.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 212217248 is an apocalyptic number.

12217248 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 12217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

12217248 is an abundant number, since it is smaller than the sum of its proper divisors (23163552).

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

12217248 is a wasteful number, since it uses less digits than its factorization.

12217248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 783 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 12217248 is about 3495.3180112831. The cubic root of 12217248 is about 230.3161876867.

Adding to 12217248 its reverse (84271221), we get a palindrome (96488469).

The spelling of 12217248 in words is "twelve million, two hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 719 944 1062 1416 1438 1888 2124 2157 2832 2876 4248 4314 5664 5752 6471 8496 8628 11504 12942 16992 17256 23008 25884 34512 42421 51768 69024 84842 103536 127263 169684 207072 254526 339368 381789 509052 678736 763578 1018104 1357472 1527156 2036208 3054312 4072416 6108624 12217248