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228875328 = 26331112041
BaseRepresentation
bin11011010010001…
…01110001000000
3120221200001221000
431221011301000
5432043002303
634413332000
75446260003
oct1551056100
9527601830
10228875328
11108215470
1264797000
13385573b6
142257b53a
151515eda3
hexda45c40

228875328 has 112 divisors (see below), whose sum is σ = 734080320. Its totient is φ = 69350400.

The previous prime is 228875327. The next prime is 228875329. The reversal of 228875328 is 823578822.

It is an interprime number because it is at equal distance from previous prime (228875327) and next prime (228875329).

It is not an unprimeable number, because it can be changed into a prime (228875321) by changing a digit.

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, 12988 + ... + 25028.

Almost surely, 2228875328 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 228875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367040160).

228875328 is an abundant number, since it is smaller than the sum of its proper divisors (505204992).

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

228875328 is a wasteful number, since it uses less digits than its factorization.

228875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073 (or 12057 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 228875328 is about 15128.6261107875. The cubic root of 228875328 is about 611.6922712823.

The spelling of 228875328 in words is "two hundred twenty-eight million, eight hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 12041 19008 24082 36123 48164 72246 96328 108369 132451 144492 192656 216738 264902 288984 325107 385312 397353 433476 529804 577968 650214 770624 794706 866952 1059608 1155936 1192059 1300428 1589412 1733904 2119216 2311872 2384118 2600856 3178824 3467808 3576177 4238432 4768236 5201712 6357648 6935616 7152354 8476864 9536472 10403424 12715296 14304708 19072944 20806848 25430592 28609416 38145888 57218832 76291776 114437664 228875328