Base | Representation |
---|---|
bin | 1000000110001110001000 |
3 | 10222211201000 |
4 | 20012032020 |
5 | 1020411012 |
6 | 113255000 |
7 | 24020301 |
oct | 10061610 |
9 | 3884630 |
10 | 2122632 |
11 | 121a846 |
12 | 864460 |
13 | 5941c5 |
14 | 3d37a8 |
15 | 2bdddc |
hex | 206388 |
2122632 has 64 divisors (see below), whose sum is σ = 6105600. Its totient is φ = 682560.
The previous prime is 2122619. The next prime is 2122633. The reversal of 2122632 is 2362212.
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 not an unprimeable number, because it can be changed into a prime (2122633) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6538 + ... + 6854.
It is an arithmetic number, because the mean of its divisors is an integer number (95400).
22122632 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 2122632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052800).
2122632 is an abundant number, since it is smaller than the sum of its proper divisors (3982968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122632 is a wasteful number, since it uses less digits than its factorization.
2122632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 363 (or 353 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 2122632 is about 1456.9255300117. The cubic root of 2122632 is about 128.5163065298.
Adding to 2122632 its reverse (2362212), we get a palindrome (4484844).
The spelling of 2122632 in words is "two million, one hundred twenty-two thousand, six hundred thirty-two".
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