Base | Representation |
---|---|
bin | 11110000100010… |
… | …11100111100000 |
3 | 122120121121200000 |
4 | 33002023213200 |
5 | 1004032330422 |
6 | 41010100000 |
7 | 6151630521 |
oct | 1702134740 |
9 | 576547600 |
10 | 252230112 |
11 | 11a417242 |
12 | 7057a600 |
13 | 403437b4 |
14 | 256da848 |
15 | 17224cac |
hex | f08b9e0 |
252230112 has 144 divisors (see below), whose sum is σ = 752169600. Its totient is φ = 83140992.
The previous prime is 252230107. The next prime is 252230119. The reversal of 252230112 is 211032252.
252230112 is a `hidden beast` number, since 2 + 522 + 30 + 112 = 666.
252230112 is digitally balanced in base 3, 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 Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (252230119) 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 23 ways as a sum of consecutive naturals, for example, 1267389 + ... + 1267587.
It is an arithmetic number, because the mean of its divisors is an integer number (5223400).
Almost surely, 2252230112 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 252230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376084800).
252230112 is an abundant number, since it is smaller than the sum of its proper divisors (499939488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
252230112 is a wasteful number, since it uses less digits than its factorization.
252230112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 387 (or 367 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 252230112 is about 15881.7540592971. The cubic root of 252230112 is about 631.8281592306.
Adding to 252230112 its reverse (211032252), we get a palindrome (463262364).
The spelling of 252230112 in words is "two hundred fifty-two million, two hundred thirty thousand, one hundred twelve".
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