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22848 = 263717

22848 has 56 divisors (see below), whose sum is σ = 73152. Its totient is φ = 6144.

The previous prime is 22817. The next prime is 22853. The reversal of 22848 is 84822.

It can be divided in two parts, 228 and 48, that added together give a triangular number (276 = T23).

22848 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×228482 = 1044062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 211 + 214 + 82 + 44 + 84 .

It is a congruent number.

It is an unprimeable number.

22848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1336 + ... + 1352.

222848 is an apocalyptic number.

22848 is a gapful number since it is divisible by the number (28) 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 22848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36576).

22848 is an abundant number, since it is smaller than the sum of its proper divisors (50304).

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

22848 is a wasteful number, since it uses less digits than its factorization.

22848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 29 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 22848 is about 151.1555490215. The cubic root of 22848 is about 28.3758837790.

The spelling of 22848 in words is "twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848