Base | Representation |
---|---|
bin | 101010110000… |
… | …1101111001000 |
3 | 1120012002001002 |
4 | 1111201233020 |
5 | 21214423144 |
6 | 2120314132 |
7 | 361366445 |
oct | 125415710 |
9 | 46162032 |
10 | 22420424 |
11 | 11723884 |
12 | 7612948 |
13 | 4850030 |
14 | 2d989cc |
15 | 1e7d14e |
hex | 1561bc8 |
22420424 has 32 divisors (see below), whose sum is σ = 45547320. Its totient is φ = 10285056.
The previous prime is 22420421. The next prime is 22420427. The reversal of 22420424 is 42402422.
It is an interprime number because it is at equal distance from previous prime (22420421) and next prime (22420427).
It can be written as a sum of positive squares in 4 ways, for example, as 6340324 + 16080100 = 2518^2 + 4010^2 .
It is a junction number, because it is equal to n+sod(n) for n = 22420396 and 22420405.
It is not an unprimeable number, because it can be changed into a prime (22420421) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19514 + ... + 20630.
Almost surely, 222420424 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 22420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22773660).
22420424 is an abundant number, since it is smaller than the sum of its proper divisors (23126896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22420424 is a wasteful number, since it uses less digits than its factorization.
22420424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 20.
The square root of 22420424 is about 4735.0210136809. The cubic root of 22420424 is about 281.9775982741.
Adding to 22420424 its reverse (42402422), we get a palindrome (64822846).
The spelling of 22420424 in words is "twenty-two million, four hundred twenty thousand, four hundred twenty-four".
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