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228672 = 2632397
BaseRepresentation
bin110111110101000000
3102121200100
4313311000
524304142
64522400
71641453
oct676500
9377610
10228672
11146894
12b0400
1380112
145d49a
1547b4c
hex37d40

228672 has 42 divisors (see below), whose sum is σ = 657098. Its totient is φ = 76032.

The previous prime is 228647. The next prime is 228677. The reversal of 228672 is 276822.

228672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 20736 = 456^2 + 144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 378 + ... + 774.

2228672 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 228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328549).

228672 is an abundant number, since it is smaller than the sum of its proper divisors (428426).

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

228672 is a wasteful number, since it uses less digits than its factorization.

228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

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

The square root of 228672 is about 478.1966122841. The cubic root of 228672 is about 61.1511079458.

It can be divided in two parts, 228 and 672, that added together give a square (900 = 302).

The spelling of 228672 in words is "two hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 397 576 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 12704 14292 19056 25408 28584 38112 57168 76224 114336 228672