Base | Representation |
---|---|
bin | 101010011001… |
… | …0111010010000 |
3 | 1112211022221101 |
4 | 1110302322100 |
5 | 21142303444 |
6 | 2112234144 |
7 | 356640325 |
oct | 124627220 |
9 | 45738841 |
10 | 22228624 |
11 | 11602770 |
12 | 753b954 |
13 | 47b3942 |
14 | 2d48b4c |
15 | 1e413d4 |
hex | 1532e90 |
22228624 has 40 divisors (see below), whose sum is σ = 47889792. Its totient is φ = 9909120.
The previous prime is 22228621. The next prime is 22228631. The reversal of 22228624 is 42682222.
It is a super-2 number, since 2×222286242 = 988223449866752, which contains 22 as substring.
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 22228592 and 22228601.
It is not an unprimeable number, because it can be changed into a prime (22228621) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8137 + ... + 10519.
Almost surely, 222228624 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 22228624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23944896).
22228624 is an abundant number, since it is smaller than the sum of its proper divisors (25661168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22228624 is a wasteful number, since it uses less digits than its factorization.
22228624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2455 (or 2449 counting only the distinct ones).
The product of its digits is 6144, while the sum is 28.
The square root of 22228624 is about 4714.7241700867. The cubic root of 22228624 is about 281.1712165177.
The spelling of 22228624 in words is "twenty-two million, two hundred twenty-eight thousand, six hundred twenty-four".
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