Base | Representation |
---|---|
bin | 11100011110010… |
… | …11111100000000 |
3 | 121122110110011201 |
4 | 32033023330000 |
5 | 442122041310 |
6 | 35411350544 |
7 | 5630202622 |
oct | 1617137400 |
9 | 548413151 |
10 | 238862080 |
11 | 112916686 |
12 | 67bb2454 |
13 | 3a642c12 |
14 | 23a1ac12 |
15 | 15e83e3a |
hex | e3cbf00 |
238862080 has 72 divisors (see below), whose sum is σ = 575868384. Its totient is φ = 94924800.
The previous prime is 238862021. The next prime is 238862093. The reversal of 238862080 is 80268832.
238862080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231165 + ... + 232195.
It is an arithmetic number, because the mean of its divisors is an integer number (7998172).
Almost surely, 2238862080 is an apocalyptic number.
238862080 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 238862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287934192).
238862080 is an abundant number, since it is smaller than the sum of its proper divisors (337006304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238862080 is a wasteful number, since it uses less digits than its factorization.
238862080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1233 (or 1219 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 37.
The square root of 238862080 is about 15455.1635384424. The cubic root of 238862080 is about 620.4627831668.
The spelling of 238862080 in words is "two hundred thirty-eight million, eight hundred sixty-two thousand, eighty".
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