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123228 = 22337163
BaseRepresentation
bin11110000101011100
320021001000
4132011130
512420403
62350300
71022160
oct360534
9207030
10123228
1184646
125b390
1344121
1432ca0
15267a3
hex1e15c

123228 has 48 divisors (see below), whose sum is σ = 367360. Its totient is φ = 34992.

The previous prime is 123217. The next prime is 123229. The reversal of 123228 is 822321.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123229) by changing a digit.

123228 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 15 ways as a sum of consecutive naturals, for example, 675 + ... + 837.

2123228 is an apocalyptic number.

123228 is a gapful number since it is divisible by the number (18) 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 123228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183680).

123228 is an abundant number, since it is smaller than the sum of its proper divisors (244132).

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

123228 is a wasteful number, since it uses less digits than its factorization.

123228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 123228 is about 351.0384594314. The cubic root of 123228 is about 49.7626080180.

Adding to 123228 its reverse (822321), we get a palindrome (945549).

It can be divided in two parts, 123 and 228, that added together give a triangular number (351 = T26).

The spelling of 123228 in words is "one hundred twenty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 163 189 252 326 378 489 652 756 978 1141 1467 1956 2282 2934 3423 4401 4564 5868 6846 8802 10269 13692 17604 20538 30807 41076 61614 123228