Base | Representation |
---|---|
bin | 1001001111010110000000 |
3 | 11120001120001 |
4 | 21033112000 |
5 | 1110002034 |
6 | 123525344 |
7 | 26405434 |
oct | 11172600 |
9 | 4501501 |
10 | 2422144 |
11 | 140487a |
12 | 989854 |
13 | 66a62a |
14 | 4709c4 |
15 | 32ca14 |
hex | 24f580 |
2422144 has 32 divisors (see below), whose sum is σ = 4896000. Its totient is φ = 1193472.
The previous prime is 2422111. The next prime is 2422169. The reversal of 2422144 is 4412242.
2422144 = T127 + T128 + ... + T254.
It is a tau number, because it is divible by the number of its divisors (32).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16182 + ... + 16330.
It is an arithmetic number, because the mean of its divisors is an integer number (153000).
22422144 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 2422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448000).
2422144 is an abundant number, since it is smaller than the sum of its proper divisors (2473856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2422144 is a wasteful number, since it uses less digits than its factorization.
2422144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 290 (or 278 counting only the distinct ones).
The product of its digits is 512, while the sum is 19.
The square root of 2422144 is about 1556.3238737486. The cubic root of 2422144 is about 134.2971056753.
Adding to 2422144 its reverse (4412242), we get a palindrome (6834386).
The spelling of 2422144 in words is "two million, four hundred twenty-two thousand, one hundred forty-four".
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