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228758112 = 253211163443
BaseRepresentation
bin11011010001010…
…01001001100000
3120221110010010200
431220221021200
5432030224422
634411025200
75445261162
oct1550511140
9527403120
10228758112
111081453a0
126473b200
1338515c3b
142254a932
151513a2ac
hexda29260

228758112 has 144 divisors (see below), whose sum is σ = 715635648. Its totient is φ = 68739840.

The previous prime is 228758111. The next prime is 228758143. The reversal of 228758112 is 211857822.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228758111) 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 23 ways as a sum of consecutive naturals, for example, 516163 + ... + 516605.

It is an arithmetic number, because the mean of its divisors is an integer number (4969692).

Almost surely, 2228758112 is an apocalyptic number.

228758112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228758112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357817824).

228758112 is an abundant number, since it is smaller than the sum of its proper divisors (486877536).

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

228758112 is a wasteful number, since it uses less digits than its factorization.

228758112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 228758112 is about 15124.7516343244. The cubic root of 228758112 is about 611.5878296117.

The spelling of 228758112 in words is "two hundred twenty-eight million, seven hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 163 176 198 264 288 326 352 396 443 489 528 652 792 886 978 1056 1304 1329 1467 1584 1772 1793 1956 2608 2658 2934 3168 3544 3586 3912 3987 4873 5216 5316 5379 5868 7088 7172 7824 7974 9746 10632 10758 11736 14176 14344 14619 15648 15948 16137 19492 21264 21516 23472 28688 29238 31896 32274 38984 42528 43032 43857 46944 57376 58476 63792 64548 72209 77968 86064 87714 116952 127584 129096 144418 155936 172128 175428 216627 233904 258192 288836 350856 433254 467808 516384 577672 649881 701712 794299 866508 1155344 1299762 1403424 1588598 1733016 2310688 2382897 2599524 3177196 3466032 4765794 5199048 6354392 6932064 7148691 9531588 10398096 12708784 14297382 19063176 20796192 25417568 28594764 38126352 57189528 76252704 114379056 228758112