| Base | Representation |
|---|---|
| bin | 11011001110101… |
| … | …01110101000000 |
| 3 | 120220210202222200 |
| 4 | 31213111311000 |
| 5 | 431433314312 |
| 6 | 34355433200 |
| 7 | 5442340200 |
| oct | 1547256500 |
| 9 | 526722880 |
| 10 | 228416832 |
| 11 | 107a31a46 |
| 12 | 645b5800 |
| 13 | 384267b7 |
| 14 | 2249c400 |
| 15 | 150be0dc |
| hex | d9d5d40 |
228416832 has 126 divisors (see below), whose sum is σ = 761702058. Its totient is φ = 65253888.
The previous prime is 228416831. The next prime is 228416833. The reversal of 228416832 is 238614822.
228416832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (228416831) and next prime (228416833).
It can be written as a sum of positive squares in only one way, i.e., 189778176 + 38638656 = 13776^2 + 6216^2 .
It is a tau number, because it is divible by the number of its divisors (126).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (228416831) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24178 + ... + 32270.
Almost surely, 2228416832 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 228416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380851029).
228416832 is an abundant number, since it is smaller than the sum of its proper divisors (533285226).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228416832 is a wasteful number, since it uses less digits than its factorization.
228416832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8125 (or 8105 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 228416832 is about 15113.4652545338. The cubic root of 228416832 is about 611.2835393794.
The spelling of 228416832 in words is "two hundred twenty-eight million, four hundred sixteen thousand, eight hundred thirty-two".
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