Base | Representation |
---|---|
bin | 11100011110101… |
… | …00100000000000 |
3 | 121122112020021200 |
4 | 32033110200000 |
5 | 442124202102 |
6 | 35412221200 |
7 | 5630410104 |
oct | 1617244000 |
9 | 548466250 |
10 | 238897152 |
11 | 11293aa6a |
12 | 6800a800 |
13 | 3a655b80 |
14 | 23a29904 |
15 | 15e8e51c |
hex | e3d4800 |
238897152 has 144 divisors (see below), whose sum is σ = 743799420. Its totient is φ = 73433088.
The previous prime is 238897133. The next prime is 238897163. The reversal of 238897152 is 251798832.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 238887936 + 9216 = 15456^2 + 96^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×2388971522 = 114143698467422208, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 238897098 and 238897107.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239118 + ... + 240114.
Almost surely, 2238897152 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 238897152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371899710).
238897152 is an abundant number, since it is smaller than the sum of its proper divisors (504902268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238897152 is a wasteful number, since it uses less digits than its factorization.
238897152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1038 (or 1015 counting only the distinct ones).
The product of its digits is 241920, while the sum is 45.
The square root of 238897152 is about 15456.2981337706. The cubic root of 238897152 is about 620.4931490942.
The spelling of 238897152 in words is "two hundred thirty-eight million, eight hundred ninety-seven thousand, one hundred fifty-two".
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