Base | Representation |
---|---|
bin | 1000100100010000000000 |
3 | 11020002102120 |
4 | 20210100000 |
5 | 1033330012 |
6 | 120044240 |
7 | 25042014 |
oct | 10442000 |
9 | 4202376 |
10 | 2245632 |
11 | 12a41a4 |
12 | 903680 |
13 | 60819c |
14 | 426544 |
15 | 2e558c |
hex | 224400 |
2245632 has 88 divisors (see below), whose sum is σ = 6484896. Its totient is φ = 688128.
The previous prime is 2245631. The next prime is 2245637. The reversal of 2245632 is 2365422.
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 27 + 211 + 43 + 57 + 66 + 313 + 219 .
It is a zygodrome in base 16.
It is not an unprimeable number, because it can be changed into a prime (2245631) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52203 + ... + 52245.
It is an arithmetic number, because the mean of its divisors is an integer number (73692).
22245632 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 2245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242448).
2245632 is an abundant number, since it is smaller than the sum of its proper divisors (4239264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2245632 is a wasteful number, since it uses less digits than its factorization.
2245632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 83 (or 65 counting only the distinct ones).
The product of its digits is 2880, while the sum is 24.
The square root of 2245632 is about 1498.5432926679. The cubic root of 2245632 is about 130.9522192353.
It can be divided in two parts, 22 and 45632, that added together give a palindrome (45654).
The spelling of 2245632 in words is "two million, two hundred forty-five thousand, six hundred thirty-two".
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