Base | Representation |
---|---|
bin | 11011111010111… |
… | …01111011000000 |
3 | 121022201110112100 |
4 | 31331131323000 |
5 | 434424422102 |
6 | 35124030400 |
7 | 5542545561 |
oct | 1575357300 |
9 | 538643470 |
10 | 234217152 |
11 | 1102338a4 |
12 | 66532400 |
13 | 396a7940 |
14 | 2316c168 |
15 | 15867a1c |
hex | df5dec0 |
234217152 has 168 divisors, whose sum is σ = 747044480. Its totient is φ = 69672960.
The previous prime is 234217147. The next prime is 234217163. The reversal of 234217152 is 251712432.
It is a super-3 number, since 3×2342171523 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231624 + ... + 232632.
Almost surely, 2234217152 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 234217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373522240).
234217152 is an abundant number, since it is smaller than the sum of its proper divisors (512827328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234217152 is a wasteful number, since it uses less digits than its factorization.
234217152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1071 (or 1058 counting only the distinct ones).
The product of its digits is 3360, while the sum is 27.
The square root of 234217152 is about 15304.1547300071. The cubic root of 234217152 is about 616.4145744692.
Adding to 234217152 its reverse (251712432), we get a palindrome (485929584).
The spelling of 234217152 in words is "two hundred thirty-four million, two hundred seventeen thousand, one hundred fifty-two".
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