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228330 = 23254359
BaseRepresentation
bin110111101111101010
3102121012200
4313233222
524301310
64521030
71640454
oct675752
9377180
10228330
11146603
12b0176
137cc0b
145d2d4
15479c0
hex37bea

228330 has 48 divisors (see below), whose sum is σ = 617760. Its totient is φ = 58464.

The previous prime is 228311. The next prime is 228331. The reversal of 228330 is 33822.

228330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (228331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3841 + ... + 3899.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2228330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308880).

228330 is an abundant number, since it is smaller than the sum of its proper divisors (389430).

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

228330 is a wasteful number, since it uses less digits than its factorization.

228330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 228330 is about 477.8388849811. The cubic root of 228330 is about 61.1206070337.

The spelling of 228330 in words is "two hundred twenty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 59 86 90 118 129 177 215 258 295 354 387 430 531 590 645 774 885 1062 1290 1770 1935 2537 2655 3870 5074 5310 7611 12685 15222 22833 25370 38055 45666 76110 114165 228330