| Base | Representation |
|---|---|
| bin | 101010100101… |
| … | …0010000000000 |
| 3 | 1120000012002010 |
| 4 | 1111022100000 |
| 5 | 21203333344 |
| 6 | 2114252520 |
| 7 | 360516126 |
| oct | 125122000 |
| 9 | 46005063 |
| 10 | 22324224 |
| 11 | 1166857a |
| 12 | 7587140 |
| 13 | 4818300 |
| 14 | 2d71916 |
| 15 | 1e5e8b9 |
| hex | 154a400 |
22324224 has 132 divisors (see below), whose sum is σ = 65929776. Its totient is φ = 6709248.
The previous prime is 22324219. The next prime is 22324241. The reversal of 22324224 is 42242322.
It is a super-3 number, since 3×223242243 (a number of 23 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 22324224.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519147 + ... + 519189.
It is an arithmetic number, because the mean of its divisors is an integer number (499468).
Almost surely, 222324224 is an apocalyptic number.
22324224 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 22324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32964888).
22324224 is an abundant number, since it is smaller than the sum of its proper divisors (43605552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22324224 is a wasteful number, since it uses less digits than its factorization.
22324224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92 (or 61 counting only the distinct ones).
The product of its digits is 1536, while the sum is 21.
The square root of 22324224 is about 4724.8517437058. The cubic root of 22324224 is about 281.5737234435.
Adding to 22324224 its reverse (42242322), we get a palindrome (64566546).
The spelling of 22324224 in words is "twenty-two million, three hundred twenty-four thousand, two hundred twenty-four".
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