Base | Representation |
---|---|
bin | 1000100011011010110000 |
3 | 11012220202100 |
4 | 20203122300 |
5 | 1033222344 |
6 | 120020400 |
7 | 25026045 |
oct | 10433260 |
9 | 4186670 |
10 | 2242224 |
11 | 12a1686 |
12 | 901700 |
13 | 60677a |
14 | 4251cc |
15 | 2e4569 |
hex | 2236b0 |
2242224 has 60 divisors (see below), whose sum is σ = 6557616. Its totient is φ = 713856.
The previous prime is 2242217. The next prime is 2242231. The reversal of 2242224 is 4222422.
It is an interprime number because it is at equal distance from previous prime (2242217) and next prime (2242231).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is an Ulam number.
It is a junction number, because it is equal to n+sod(n) for n = 2242197 and 2242206.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2974 + ... + 3650.
22242224 is an apocalyptic number.
2242224 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 2242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278808).
2242224 is an abundant number, since it is smaller than the sum of its proper divisors (4315392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242224 is a wasteful number, since it uses less digits than its factorization.
2242224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 714 (or 705 counting only the distinct ones).
The product of its digits is 512, while the sum is 18.
The square root of 2242224 is about 1497.4057566338. The cubic root of 2242224 is about 130.8859407717.
Adding to 2242224 its reverse (4222422), we get a palindrome (6464646).
The spelling of 2242224 in words is "two million, two hundred forty-two thousand, two hundred twenty-four".
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