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228823776 = 2532978191
BaseRepresentation
bin11011010001110…
…01001011100000
3120221120110012200
431220321023200
5432034330101
634412253200
75445653466
oct1550711340
9527513180
10228823776
1110818a765
1264771200
1338539aac
1422566836
151514e986
hexda392e0

228823776 has 72 divisors (see below), whose sum is σ = 657506304. Its totient is φ = 75479040.

The previous prime is 228823759. The next prime is 228823781. The reversal of 228823776 is 677328822.

228823776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23841 + ... + 32031.

It is an arithmetic number, because the mean of its divisors is an integer number (9132032).

Almost surely, 2228823776 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 228823776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328753152).

228823776 is an abundant number, since it is smaller than the sum of its proper divisors (428682528).

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

228823776 is a wasteful number, since it uses less digits than its factorization.

228823776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8293 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 228823776 is about 15126.9222249604. The cubic root of 228823776 is about 611.6463418701.

The spelling of 228823776 in words is "two hundred twenty-eight million, eight hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 8191 9312 13968 16382 24573 27936 32764 49146 65528 73719 98292 131056 147438 196584 262112 294876 393168 589752 786336 794527 1179504 1589054 2359008 2383581 3178108 4767162 6356216 7150743 9534324 12712432 14301486 19068648 25424864 28602972 38137296 57205944 76274592 114411888 228823776