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228352 = 210223
BaseRepresentation
bin110111110000000000
3102121020111
4313300000
524301402
64521104
71640515
oct676000
9377214
10228352
11146623
12b0194
137cc27
145d30c
15479d7
hex37c00

228352 has 22 divisors (see below), whose sum is σ = 458528. Its totient is φ = 113664.

The previous prime is 228341. The next prime is 228353. The reversal of 228352 is 253822.

It is a d-powerful number, because it can be written as 211 + 213 + 311 + 85 + 5 + 213 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 913 + ... + 1135.

228352 is a Friedman number, since it can be written as 223/(2/8)^5, using all its digits and the basic arithmetic operations.

2228352 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 228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229264).

228352 is an abundant number, since it is smaller than the sum of its proper divisors (230176).

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

228352 is an equidigital number, since it uses as much as digits as its factorization.

228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 228352 is about 477.8619047382. The cubic root of 228352 is about 61.1225699969.

The spelling of 228352 in words is "two hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 223 256 446 512 892 1024 1784 3568 7136 14272 28544 57088 114176 228352