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228375 = 3253729
BaseRepresentation
bin110111110000010111
3102121021100
4313300113
524302000
64521143
71640550
oct676027
9377240
10228375
11146644
12b01b3
137cc44
145d327
1547a00
hex37c17

228375 has 48 divisors (see below), whose sum is σ = 486720. Its totient is φ = 100800.

The previous prime is 228359. The next prime is 228383. The reversal of 228375 is 573822.

It is not a de Polignac number, because 228375 - 24 = 228359 is a prime.

It is a d-powerful number, because it can be written as 22 + 210 + 311 + 85 + 75 + 54 .

228375 is a lucky 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 47 ways as a sum of consecutive naturals, for example, 7861 + ... + 7889.

It is an arithmetic number, because the mean of its divisors is an integer number (10140).

2228375 is an apocalyptic number.

228375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228375 is an abundant number, since it is smaller than the sum of its proper divisors (258345).

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

228375 is a wasteful number, since it uses less digits than its factorization.

228375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 44 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 228375 is about 477.8859696622. The cubic root of 228375 is about 61.1246220509.

The spelling of 228375 in words is "two hundred twenty-eight thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 63 75 87 105 125 145 175 203 225 261 315 375 435 525 609 725 875 1015 1125 1305 1575 1827 2175 2625 3045 3625 5075 6525 7875 9135 10875 15225 25375 32625 45675 76125 228375