Base | Representation |
---|---|
bin | 101010000000… |
… | …0101101110000 |
3 | 1112102212220120 |
4 | 1110000231300 |
5 | 21114214044 |
6 | 2104010240 |
7 | 355123032 |
oct | 124005560 |
9 | 45385816 |
10 | 22023024 |
11 | 11482251 |
12 | 7460980 |
13 | 474119a |
14 | 2cd3c52 |
15 | 1e00519 |
hex | 1500b70 |
22023024 has 80 divisors (see below), whose sum is σ = 60987168. Its totient is φ = 6823936.
The previous prime is 22023019. The next prime is 22023031. The reversal of 22023024 is 42032022.
It is a super-2 number, since 2×220230242 = 970027172209152, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 22022994 and 22023012.
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, 111694 + ... + 111890.
Almost surely, 222023024 is an apocalyptic number.
22023024 is a gapful number since it is divisible by the number (24) 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 22023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30493584).
22023024 is an abundant number, since it is smaller than the sum of its proper divisors (38964144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22023024 is a wasteful number, since it uses less digits than its factorization.
22023024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 362 (or 356 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 15.
The square root of 22023024 is about 4692.8694846544. The cubic root of 22023024 is about 280.3016477034.
Adding to 22023024 its reverse (42032022), we get a palindrome (64055046).
The spelling of 22023024 in words is "twenty-two million, twenty-three thousand, twenty-four".
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