Base | Representation |
---|---|
bin | 11001000101011… |
… | …10110010101000 |
3 | 112122222000021002 |
4 | 30202232302220 |
5 | 412332244034 |
6 | 32514134132 |
7 | 5133430610 |
oct | 1442566250 |
9 | 478860232 |
10 | 210431144 |
11 | a8868040 |
12 | 5a581348 |
13 | 3479a191 |
14 | 1dd39a40 |
15 | 13719e7e |
hex | c8aeca8 |
210431144 has 64 divisors (see below), whose sum is σ = 494553600. Its totient is φ = 81547200.
The previous prime is 210431141. The next prime is 210431153. The reversal of 210431144 is 441134012.
It is not an unprimeable number, because it can be changed into a prime (210431141) 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 15 ways as a sum of consecutive naturals, for example, 129167 + ... + 130785.
It is an arithmetic number, because the mean of its divisors is an integer number (7727400).
Almost surely, 2210431144 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 210431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247276800).
210431144 is an abundant number, since it is smaller than the sum of its proper divisors (284122456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210431144 is a wasteful number, since it uses less digits than its factorization.
210431144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1854 (or 1850 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 210431144 is about 14506.2449999991. The cubic root of 210431144 is about 594.7986928153.
Adding to 210431144 its reverse (441134012), we get a palindrome (651565156).
The spelling of 210431144 in words is "two hundred ten million, four hundred thirty-one thousand, one hundred forty-four".
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