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228276 = 223217373
BaseRepresentation
bin110111101110110100
3102121010200
4313232310
524301101
64520500
71640346
oct675664
9377120
10228276
11146564
12b0130
137cb99
145d296
1547986
hex37bb4

228276 has 36 divisors (see below), whose sum is σ = 612612. Its totient is φ = 71424.

The previous prime is 228257. The next prime is 228281. The reversal of 228276 is 672822.

It can be written as a sum of positive squares in 2 ways, for example, as 152100 + 76176 = 390^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

228276 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 11 ways as a sum of consecutive naturals, for example, 426 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (17017).

2228276 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 228276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306306).

228276 is an abundant number, since it is smaller than the sum of its proper divisors (384336).

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

228276 is a wasteful number, since it uses less digits than its factorization.

228276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 228276 is about 477.7823772388. The cubic root of 228276 is about 61.1157883166.

The spelling of 228276 in words is "two hundred twenty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 373 612 746 1119 1492 2238 3357 4476 6341 6714 12682 13428 19023 25364 38046 57069 76092 114138 228276