Base | Representation |
---|---|
bin | 10000000111100001111000 |
3 | 21221122210211 |
4 | 100013201320 |
5 | 2040201034 |
6 | 230320504 |
7 | 50625130 |
oct | 20074170 |
9 | 7848724 |
10 | 4225144 |
11 | 2426460 |
12 | 14b9134 |
13 | b4c1b1 |
14 | 7bdac0 |
15 | 586d64 |
hex | 407878 |
4225144 has 64 divisors (see below), whose sum is σ = 10425600. Its totient is φ = 1559520.
The previous prime is 4225121. The next prime is 4225147. The reversal of 4225144 is 4415224.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is an Ulam number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4225147) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222367 + ... + 222385.
It is an arithmetic number, because the mean of its divisors is an integer number (162900).
Almost surely, 24225144 is an apocalyptic number.
4225144 is a gapful number since it is divisible by the number (44) 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 4225144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212800).
4225144 is an abundant number, since it is smaller than the sum of its proper divisors (6200456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4225144 is a wasteful number, since it uses less digits than its factorization.
4225144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 81 (or 39 counting only the distinct ones).
The product of its digits is 1280, while the sum is 22.
The square root of 4225144 is about 2055.5155071174. The cubic root of 4225144 is about 161.6641928744.
It can be divided in two parts, 4225 and 144, that multiplied together give a square (608400 = 7802).
The spelling of 4225144 in words is "four million, two hundred twenty-five thousand, one hundred forty-four".
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