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228144288 = 25311321031
BaseRepresentation
bin11011001100100…
…11010010100000
3120220021221010110
431212103102200
5431401104123
634345531320
75440123461
oct1546232240
9526257113
10228144288
111078661a9
12644a3b40
133835c728
142242ad68
1515068493
hexd9934a0

228144288 has 48 divisors (see below), whose sum is σ = 604207296. Its totient is φ = 75371520.

The previous prime is 228144281. The next prime is 228144289. The reversal of 228144288 is 882441822.

228144288 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 (48).

It is a super-2 number, since 2×2281442882 = 104099632294053888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228144281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333 + ... + 21363.

It is an arithmetic number, because the mean of its divisors is an integer number (12587652).

Almost surely, 2228144288 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 228144288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302103648).

228144288 is an abundant number, since it is smaller than the sum of its proper divisors (376063008).

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

228144288 is a wasteful number, since it uses less digits than its factorization.

228144288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21157 (or 21149 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 228144288 is about 15104.4459679923. The cubic root of 228144288 is about 611.0403174216.

The spelling of 228144288 in words is "two hundred twenty-eight million, one hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 21031 42062 63093 84124 126186 168248 252372 336496 504744 672992 1009488 2018976 2376503 4753006 7129509 9506012 14259018 19012024 28518036 38024048 57036072 76048096 114072144 228144288