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228608 = 281947
BaseRepresentation
bin110111110100000000
3102121120222
4313310000
524303413
64522212
71641332
oct676400
9377528
10228608
11146836
12b0368
1380093
145d452
1547b08
hex37d00

228608 has 36 divisors (see below), whose sum is σ = 490560. Its totient is φ = 105984.

The previous prime is 228601. The next prime is 228611. The reversal of 228608 is 806822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228601) 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, 4841 + ... + 4887.

2228608 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 228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245280).

228608 is an abundant number, since it is smaller than the sum of its proper divisors (261952).

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

228608 is an equidigital number, since it uses as much as digits as its factorization.

228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 228608 is about 478.1296895195. The cubic root of 228608 is about 61.1454024869.

The spelling of 228608 in words is "two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 128 152 188 256 304 376 608 752 893 1216 1504 1786 2432 3008 3572 4864 6016 7144 12032 14288 28576 57152 114304 228608