Base | Representation |
---|---|
bin | 10001001111011… |
… | …11000101110000 |
3 | 101002011011212010 |
4 | 20213233011300 |
5 | 244011243344 |
6 | 22204002520 |
7 | 3404241060 |
oct | 1047570560 |
9 | 332134763 |
10 | 144634224 |
11 | 74707919 |
12 | 40530440 |
13 | 23c707a7 |
14 | 152cd3a0 |
15 | ca6e8b9 |
hex | 89ef170 |
144634224 has 80 divisors (see below), whose sum is σ = 437472000. Its totient is φ = 40312320.
The previous prime is 144634219. The next prime is 144634247. The reversal of 144634224 is 422436441.
144634224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 144634191 and 144634200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8527 + ... + 19025.
It is an arithmetic number, because the mean of its divisors is an integer number (5468400).
Almost surely, 2144634224 is an apocalyptic number.
144634224 is a gapful number since it is divisible by the number (14) 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 144634224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).
144634224 is an abundant number, since it is smaller than the sum of its proper divisors (292837776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144634224 is a wasteful number, since it uses less digits than its factorization.
144634224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10558 (or 10552 counting only the distinct ones).
The product of its digits is 18432, while the sum is 30.
The square root of 144634224 is about 12026.3969666729. The cubic root of 144634224 is about 524.9166597869.
The spelling of 144634224 in words is "one hundred forty-four million, six hundred thirty-four thousand, two hundred twenty-four".
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