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2208256 = 2919227
BaseRepresentation
bin1000011011001000000000
311011012011021
420123020000
51031131011
6115155224
724525031
oct10331000
94135137
102208256
111279106
128a5b14
135c417b
14416a88
152d9471
hex21b200

2208256 has 40 divisors (see below), whose sum is σ = 4664880. Its totient is φ = 1041408.

The previous prime is 2208229. The next prime is 2208257. The reversal of 2208256 is 6528022.

It is a self number, because there is not a number n which added to its sum of digits gives 2208256.

It is not an unprimeable number, because it can be changed into a prime (2208257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9615 + ... + 9841.

It is an arithmetic number, because the mean of its divisors is an integer number (116622).

22208256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332440).

2208256 is an abundant number, since it is smaller than the sum of its proper divisors (2456624).

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

2208256 is an equidigital number, since it uses as much as digits as its factorization.

2208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2208256 is about 1486.0201882882. The cubic root of 2208256 is about 130.2216337617.

The spelling of 2208256 in words is "two million, two hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 227 256 304 454 512 608 908 1216 1816 2432 3632 4313 4864 7264 8626 9728 14528 17252 29056 34504 58112 69008 116224 138016 276032 552064 1104128 2208256