Base | Representation |
---|---|
bin | 11011001101011… |
… | …01011001100000 |
3 | 120220111100211100 |
4 | 31212231121200 |
5 | 431413014412 |
6 | 34352114400 |
7 | 5441050326 |
oct | 1546553140 |
9 | 526440740 |
10 | 228251232 |
11 | 107929590 |
12 | 64535a00 |
13 | 38399301 |
14 | 22457d16 |
15 | 15089edc |
hex | d9ad660 |
228251232 has 144 divisors (see below), whose sum is σ = 715674960. Its totient is φ = 68428800.
The previous prime is 228251207. The next prime is 228251263. The reversal of 228251232 is 232152822.
228251232 is digitally balanced in base 2, 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 (144).
It is a junction number, because it is equal to n+sod(n) for n = 228251196 and 228251205.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344982 + ... + 345642.
It is an arithmetic number, because the mean of its divisors is an integer number (4969965).
Almost surely, 2228251232 is an apocalyptic number.
228251232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 228251232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357837480).
228251232 is an abundant number, since it is smaller than the sum of its proper divisors (487423728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228251232 is a wasteful number, since it uses less digits than its factorization.
228251232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 797 (or 786 counting only the distinct ones).
The product of its digits is 3840, while the sum is 27.
The square root of 228251232 is about 15107.9857029321. The cubic root of 228251232 is about 611.1357787753.
The spelling of 228251232 in words is "two hundred twenty-eight million, two hundred fifty-one thousand, two hundred thirty-two".
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