Search a number
-
+
228516096 = 283674441
BaseRepresentation
bin11011001111011…
…10000100000000
3120220222211011010
431213232010000
5432000003341
634401520520
75443232454
oct1547560400
9526884133
10228516096
11107a9a586
1264643140
133845ca33
14224c6664
15150dd716
hexd9ee100

228516096 has 72 divisors (see below), whose sum is σ = 617402464. Its totient is φ = 75018240.

The previous prime is 228516077. The next prime is 228516121. The reversal of 228516096 is 690615822.

It is a super-2 number, since 2×2285160962 = 104439212262162432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49236 + ... + 53676.

Almost surely, 2228516096 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 228516096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308701232).

228516096 is an abundant number, since it is smaller than the sum of its proper divisors (388886368).

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

228516096 is an equidigital number, since it uses as much as digits as its factorization.

228516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 228516096 is about 15116.7488568144. The cubic root of 228516096 is about 611.3720758518.

It can be divided in two parts, 2285 and 16096, that added together give a palindrome (18381).

The spelling of 228516096 in words is "two hundred twenty-eight million, five hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1608 2144 3216 4288 4441 6432 8576 8882 12864 13323 17152 17764 25728 26646 35528 51456 53292 71056 106584 142112 213168 284224 297547 426336 568448 595094 852672 892641 1136896 1190188 1705344 1785282 2380376 3410688 3570564 4760752 7141128 9521504 14282256 19043008 28564512 38086016 57129024 76172032 114258048 228516096