Base | Representation |
---|---|
bin | 1000100011011111101000 |
3 | 11012221011220 |
4 | 20203133220 |
5 | 1033230121 |
6 | 120022040 |
7 | 25030002 |
oct | 10433750 |
9 | 4187156 |
10 | 2242536 |
11 | 12a193a |
12 | 901920 |
13 | 60695a |
14 | 425372 |
15 | 2e46c6 |
hex | 2237e8 |
2242536 has 64 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 698880.
The previous prime is 2242529. The next prime is 2242549. The reversal of 2242536 is 6352422.
2242536 = T264 + T265 + ... + T316.
2242536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×22425362 = 10057935422592, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a d-powerful number, because it can be written as 23 + 213 + 4 + 221 + 57 + 310 + 6 .
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 42286 + ... + 42338.
It is an arithmetic number, because the mean of its divisors is an integer number (93555).
22242536 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 2242536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).
2242536 is an abundant number, since it is smaller than the sum of its proper divisors (3744984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242536 is a wasteful number, since it uses less digits than its factorization.
2242536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146 (or 142 counting only the distinct ones).
The product of its digits is 2880, while the sum is 24.
The square root of 2242536 is about 1497.5099331891. The cubic root of 2242536 is about 130.8920113099.
2242536 divided by its sum of digits (24) gives a palindrome (93439).
Adding to 2242536 its reverse (6352422), we get a palindrome (8594958).
The spelling of 2242536 in words is "two million, two hundred forty-two thousand, five hundred thirty-six".
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