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228648456 = 23323785829
BaseRepresentation
bin11011010000011…
…10011000001000
3120221020112201100
431220032120020
5432013222311
634404421400
75444323401
oct1550163010
9527215640
10228648456
1110807aa73
12646a7860
13384a805a
142251c9a8
1515117a56
hexda0e608

228648456 has 48 divisors (see below), whose sum is σ = 636000300. Its totient is φ = 74155392.

The previous prime is 228648401. The next prime is 228648461. The reversal of 228648456 is 654846822.

228648456 is digitally balanced in base 3, 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 2 ways, for example, as 226984356 + 1664100 = 15066^2 + 1290^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 40251 + ... + 45578.

Almost surely, 2228648456 is an apocalyptic number.

It is an amenable number.

228648456 is an abundant number, since it is smaller than the sum of its proper divisors (407351844).

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

228648456 is a wasteful number, since it uses less digits than its factorization.

228648456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85878 (or 85871 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 228648456 is about 15121.1261485380. The cubic root of 228648456 is about 611.4900917389.

The spelling of 228648456 in words is "two hundred twenty-eight million, six hundred forty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 85829 171658 257487 343316 514974 686632 772461 1029948 1544922 2059896 3089844 3175673 6179688 6351346 9527019 12702692 19054038 25405384 28581057 38108076 57162114 76216152 114324228 228648456