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228774 = 23713419
BaseRepresentation
bin110111110110100110
3102121211010
4313312212
524310044
64523050
71641660
oct676646
9377733
10228774
11146977
12b0486
1380190
145d530
1547bb9
hex37da6

228774 has 32 divisors (see below), whose sum is σ = 564480. Its totient is φ = 60192.

The previous prime is 228773. The next prime is 228793. The reversal of 228774 is 477822.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2228774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

228774 is an abundant number, since it is smaller than the sum of its proper divisors (335706).

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

228774 is a wasteful number, since it uses less digits than its factorization.

228774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444.

The product of its digits is 6272, while the sum is 30.

The square root of 228774 is about 478.3032510866. The cubic root of 228774 is about 61.1601988210.

The spelling of 228774 in words is "two hundred twenty-eight thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 419 546 838 1257 2514 2933 5447 5866 8799 10894 16341 17598 32682 38129 76258 114387 228774