Base | Representation |
---|---|
bin | 11011001110001… |
… | …10100000000000 |
3 | 120220200120212100 |
4 | 31213012200000 |
5 | 431424312143 |
6 | 34354230400 |
7 | 5441656146 |
oct | 1547064000 |
9 | 526616770 |
10 | 228354048 |
11 | 10799985a |
12 | 64585400 |
13 | 38404050 |
14 | 22483596 |
15 | 150aa6d3 |
hex | d9c6800 |
228354048 has 144 divisors (see below), whose sum is σ = 711006660. Its totient is φ = 70189056.
The previous prime is 228354041. The next prime is 228354053. The reversal of 228354048 is 840453822.
It can be written as a sum of positive squares in 2 ways, for example, as 215737344 + 12616704 = 14688^2 + 3552^2 .
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 (228354041) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239140 + ... + 240092.
Almost surely, 2228354048 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 228354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355503330).
228354048 is an abundant number, since it is smaller than the sum of its proper divisors (482652612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228354048 is a wasteful number, since it uses less digits than its factorization.
228354048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 994 (or 971 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The square root of 228354048 is about 15111.3880236066. The cubic root of 228354048 is about 611.2275272454.
The spelling of 228354048 in words is "two hundred twenty-eight million, three hundred fifty-four thousand, forty-eight".
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