Base | Representation |
---|---|
bin | 1000101010110011110100 |
3 | 11021110021200 |
4 | 20222303310 |
5 | 1040210000 |
6 | 120412500 |
7 | 25213236 |
oct | 10526364 |
9 | 4243250 |
10 | 2272500 |
11 | 13123aa |
12 | 917130 |
13 | 617499 |
14 | 432256 |
15 | 2ed500 |
hex | 22acf4 |
2272500 has 90 divisors (see below), whose sum is σ = 7249242. Its totient is φ = 600000.
The previous prime is 2272499. The next prime is 2272513. The reversal of 2272500 is 52722.
It is a happy number.
2272500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 5 ways, for example, as 318096 + 1954404 = 564^2 + 1398^2 .
It is a tau number, because it is divible by the number of its divisors (90).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22450 + ... + 22550.
22272500 is an apocalyptic number.
2272500 is a gapful number since it is divisible by the number (20) 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 2272500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624621).
2272500 is an abundant number, since it is smaller than the sum of its proper divisors (4976742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2272500 is a wasteful number, since it uses less digits than its factorization.
2272500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131 (or 111 counting only the distinct ones).
The product of its (nonzero) digits is 280, while the sum is 18.
The square root of 2272500 is about 1507.4813431681. The cubic root of 2272500 is about 131.4724120105.
It can be divided in two parts, 2272 and 500, that added together give a palindrome (2772).
The spelling of 2272500 in words is "two million, two hundred seventy-two thousand, five hundred".
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