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228660 = 223537103
BaseRepresentation
bin110111110100110100
3102121122220
4313310310
524304120
64522340
71641435
oct676464
9377586
10228660
11146883
12b03b0
1380103
145d48c
1547b40
hex37d34

228660 has 48 divisors (see below), whose sum is σ = 663936. Its totient is φ = 58752.

The previous prime is 228647. The next prime is 228677. The reversal of 228660 is 66822.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 228660.

It is a congruent number.

It is an unprimeable number.

228660 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 2169 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2228660 is an apocalyptic number.

228660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331968).

228660 is an abundant number, since it is smaller than the sum of its proper divisors (435276).

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

228660 is a wasteful number, since it uses less digits than its factorization.

228660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 228660 is about 478.1840649792. The cubic root of 228660 is about 61.1500382533.

It can be divided in two parts, 2286 and 60, that added together give a triangular number (2346 = T68).

The spelling of 228660 in words is "two hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 103 111 148 185 206 222 309 370 412 444 515 555 618 740 1030 1110 1236 1545 2060 2220 3090 3811 6180 7622 11433 15244 19055 22866 38110 45732 57165 76220 114330 228660