Base | Representation |
---|---|
bin | 101010000000… |
… | …0100001010000 |
3 | 1112102211210221 |
4 | 1110000201100 |
5 | 21114202344 |
6 | 2104002424 |
7 | 355120510 |
oct | 124004120 |
9 | 45384727 |
10 | 22022224 |
11 | 11481694 |
12 | 7460414 |
13 | 4740a03 |
14 | 2cd3840 |
15 | 1e00184 |
hex | 1500850 |
22022224 has 80 divisors (see below), whose sum is σ = 51996672. Its totient is φ = 8832384.
The previous prime is 22022219. The next prime is 22022227. The reversal of 22022224 is 42222022.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 22022198 and 22022207.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22022227) 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, 213757 + ... + 213859.
Almost surely, 222022224 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 22022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).
22022224 is an abundant number, since it is smaller than the sum of its proper divisors (29974448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22022224 is a wasteful number, since it uses less digits than its factorization.
22022224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 224 (or 218 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 22022224 is about 4692.7842481836. The cubic root of 22022224 is about 280.2982536186.
Adding to 22022224 its reverse (42222022), we get a palindrome (64244246).
The spelling of 22022224 in words is "twenty-two million, twenty-two thousand, two hundred twenty-four".
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