Base | Representation |
---|---|
bin | 10000000110111010100000 |
3 | 21221112100111 |
4 | 100012322200 |
5 | 2040110444 |
6 | 230301104 |
7 | 50614600 |
oct | 20067240 |
9 | 7845314 |
10 | 4222624 |
11 | 242457a |
12 | 14b7794 |
13 | b4acc3 |
14 | 7bcc00 |
15 | 586234 |
hex | 406ea0 |
4222624 has 36 divisors (see below), whose sum is σ = 9674154. Its totient is φ = 1809024.
The previous prime is 4222619. The next prime is 4222627. The reversal of 4222624 is 4262224.
It can be written as a sum of positive squares in only one way, i.e., 3732624 + 490000 = 1932^2 + 700^2 .
It is a d-powerful number, because it can be written as 42 + 25 + 212 + 214 + 65 + 222 + 42 .
It is a junction number, because it is equal to n+sod(n) for n = 4222595 and 4222604.
It is not an unprimeable number, because it can be changed into a prime (4222627) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222 + ... + 2914.
Almost surely, 24222624 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 4222624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837077).
4222624 is an abundant number, since it is smaller than the sum of its proper divisors (5451530).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4222624 is a wasteful number, since it uses less digits than its factorization.
4222624 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2717 (or 2702 counting only the distinct ones).
The product of its digits is 1536, while the sum is 22.
The square root of 4222624 is about 2054.9024307738. The cubic root of 4222624 is about 161.6320460579.
Adding to 4222624 its reverse (4262224), we get a palindrome (8484848).
The spelling of 4222624 in words is "four million, two hundred twenty-two thousand, six hundred twenty-four".
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