Base | Representation |
---|---|
bin | 1000011111010000100000 |
3 | 11012001101020 |
4 | 20133100200 |
5 | 1032201214 |
6 | 115405440 |
7 | 24625263 |
oct | 10372040 |
9 | 4161336 |
10 | 2225184 |
11 | 128a8a5 |
12 | 8b3880 |
13 | 5cbaa0 |
14 | 41ccda |
15 | 2de4a9 |
hex | 21f420 |
2225184 has 48 divisors (see below), whose sum is σ = 6293952. Its totient is φ = 684288.
The previous prime is 2225183. The next prime is 2225203. The reversal of 2225184 is 4815222.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (2225183) 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, 357 + ... + 2139.
It is an arithmetic number, because the mean of its divisors is an integer number (131124).
22225184 is an apocalyptic number.
2225184 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 2225184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146976).
2225184 is an abundant number, since it is smaller than the sum of its proper divisors (4068768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2225184 is a wasteful number, since it uses less digits than its factorization.
2225184 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1809 (or 1801 counting only the distinct ones).
The product of its digits is 1280, while the sum is 24.
The square root of 2225184 is about 1491.7050646827. The cubic root of 2225184 is about 130.5535371416.
The spelling of 2225184 in words is "two million, two hundred twenty-five thousand, one hundred eighty-four".
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