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228096 = 283411
BaseRepresentation
bin110111101100000000
3102120220000
4313230000
524244341
64520000
71640001
oct675400
9376800
10228096
11146410
12b0000
137ca8b
145d1a8
15478b6
hex37b00

228096 has 90 divisors (see below), whose sum is σ = 741972. Its totient is φ = 69120.

The previous prime is 228077. The next prime is 228097. The reversal of 228096 is 690822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228096.

It is not an unprimeable number, because it can be changed into a prime (228097) by changing a digit.

228096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20731 + ... + 20741.

2228096 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 228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370986).

228096 is an abundant number, since it is smaller than the sum of its proper divisors (513876).

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

228096 is an equidigital number, since it uses as much as digits as its factorization.

228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 228096 is about 477.5939698112. The cubic root of 228096 is about 61.0997204359.

228096 divided by its sum of digits (27) gives a palindrome (8448).

It can be divided in two parts, 22 and 8096, that added together give a palindrome (8118).

The spelling of 228096 in words is "two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 256 264 288 297 324 352 384 396 432 528 576 594 648 704 768 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2304 2376 2592 2816 3168 3456 3564 4224 4752 5184 6336 6912 7128 8448 9504 10368 12672 14256 19008 20736 25344 28512 38016 57024 76032 114048 228096