Base | Representation |
---|---|
bin | 1010000000001011000000 |
3 | 11221012220110 |
4 | 22000023000 |
5 | 1132402034 |
6 | 132111320 |
7 | 31200510 |
oct | 12001300 |
9 | 4835813 |
10 | 2622144 |
11 | 1531068 |
12 | a65540 |
13 | 70a685 |
14 | 4c3840 |
15 | 36bde9 |
hex | 2802c0 |
2622144 has 56 divisors (see below), whose sum is σ = 7932928. Its totient is φ = 748800.
The previous prime is 2622143. The next prime is 2622157. The reversal of 2622144 is 4412262.
2622144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (56).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 12.
It is a self number, because there is not a number n which added to its sum of digits gives 2622144.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2622143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 2319.
22622144 is an apocalyptic number.
2622144 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 2622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966464).
2622144 is an abundant number, since it is smaller than the sum of its proper divisors (5310784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2622144 is a wasteful number, since it uses less digits than its factorization.
2622144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1973 (or 1963 counting only the distinct ones).
The product of its digits is 768, while the sum is 21.
The square root of 2622144 is about 1619.3035540009. The cubic root of 2622144 is about 137.8961621727.
The spelling of 2622144 in words is "two million, six hundred twenty-two thousand, one hundred forty-four".
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