Base | Representation |
---|---|
bin | 11100011110001… |
… | …01110010010000 |
3 | 121122102011121101 |
4 | 32033011302100 |
5 | 442120240010 |
6 | 35411034144 |
7 | 5630036302 |
oct | 1617056220 |
9 | 548364541 |
10 | 238836880 |
11 | 1128a9757 |
12 | 67b9b954 |
13 | 3a6345c9 |
14 | 23a11972 |
15 | 15e7b73a |
hex | e3c5c90 |
238836880 has 40 divisors (see below), whose sum is σ = 558537912. Its totient is φ = 94977024.
The previous prime is 238836863. The next prime is 238836881. The reversal of 238836880 is 88638832.
It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 222964624 = 3984^2 + 14932^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 238836880.
It is not an unprimeable number, because it can be changed into a prime (238836881) 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 7 ways as a sum of consecutive naturals, for example, 5212 + ... + 22468.
Almost surely, 2238836880 is an apocalyptic number.
238836880 is a gapful number since it is divisible by the number (20) 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 238836880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279268956).
238836880 is an abundant number, since it is smaller than the sum of its proper divisors (319701032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238836880 is a wasteful number, since it uses less digits than its factorization.
238836880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17443 (or 17437 counting only the distinct ones).
The product of its (nonzero) digits is 442368, while the sum is 46.
The square root of 238836880 is about 15454.3482554264. The cubic root of 238836880 is about 620.4409627478.
The spelling of 238836880 in words is "two hundred thirty-eight million, eight hundred thirty-six thousand, eight hundred eighty".
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