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2208248 = 23747839
BaseRepresentation
bin1000011011000111111000
311011012010222
420123013320
51031130443
6115155212
724525020
oct10330770
94135128
102208248
1112790a9
128a5b08
135c4173
14416a80
152d9468
hex21b1f8

2208248 has 32 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 925152.

The previous prime is 2208229. The next prime is 2208257. The reversal of 2208248 is 8428022.

2208248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2213 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

22208248 is an apocalyptic number.

2208248 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 2208248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

2208248 is an abundant number, since it is smaller than the sum of its proper divisors (2630152).

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

2208248 is a wasteful number, since it uses less digits than its factorization.

2208248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2208248 is about 1486.0174965323. The cubic root of 2208248 is about 130.2214765072.

The spelling of 2208248 in words is "two million, two hundred eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 839 1316 1678 2632 3356 5873 6712 11746 23492 39433 46984 78866 157732 276031 315464 552062 1104124 2208248