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228144528 = 24321938209
BaseRepresentation
bin11011001100100…
…11010110010000
3120220021221110100
431212103112100
5431401111103
634345532400
75440124253
oct1546232620
9526257410
10228144528
111078663a7
12644a4100
133835c881
142242b09a
15150685a3
hexd993590

228144528 has 60 divisors (see below), whose sum is σ = 641874220. Its totient is φ = 75644928.

The previous prime is 228144523. The next prime is 228144529. The reversal of 228144528 is 825441822.

228144528 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 33039504 + 195105024 = 5748^2 + 13968^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 228144492 and 228144501.

It is not an unprimeable number, because it can be changed into a prime (228144523) by changing a digit.

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, 23688 + ... + 31896.

Almost surely, 2228144528 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 228144528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320937110).

228144528 is an abundant number, since it is smaller than the sum of its proper divisors (413729692).

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

228144528 is a wasteful number, since it uses less digits than its factorization.

228144528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416 (or 8407 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 228144528 is about 15104.4539126709. The cubic root of 228144528 is about 611.0405316860.

The spelling of 228144528 in words is "two hundred twenty-eight million, one hundred forty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 6948 8209 9264 13896 16418 24627 27792 32836 49254 65672 73881 98508 131344 147762 197016 295524 394032 591048 1182096 1584337 3168674 4753011 6337348 9506022 12674696 14259033 19012044 25349392 28518066 38024088 57036132 76048176 114072264 228144528