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327228 = 223113767
BaseRepresentation
bin1001111111000111100
3121121212120
41033320330
540432403
611002540
72532006
oct1177074
9547776
10327228
11203940
12139450
13b5c35
1487376
1566e53
hex4fe3c

327228 has 48 divisors (see below), whose sum is σ = 868224. Its totient is φ = 95040.

The previous prime is 327211. The next prime is 327247. The reversal of 327228 is 822723.

It is a junction number, because it is equal to n+sod(n) for n = 327198 and 327207.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327228.

It is an unprimeable number.

327228 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, 4851 + ... + 4917.

It is an arithmetic number, because the mean of its divisors is an integer number (18088).

2327228 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 327228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434112).

327228 is an abundant number, since it is smaller than the sum of its proper divisors (540996).

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

327228 is a wasteful number, since it uses less digits than its factorization.

327228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 327228 is about 572.0384602455. The cubic root of 327228 is about 68.9101961300.

It can be divided in two parts, 327 and 228, that added together give a palindrome (555).

The spelling of 327228 in words is "three hundred twenty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 67 74 111 132 134 148 201 222 268 402 407 444 737 804 814 1221 1474 1628 2211 2442 2479 2948 4422 4884 4958 7437 8844 9916 14874 27269 29748 54538 81807 109076 163614 327228