Base | Representation |
---|---|
bin | 1000101001001000000000 |
3 | 11021002211010 |
4 | 20221020000 |
5 | 1034444400 |
6 | 120320520 |
7 | 25154151 |
oct | 10511000 |
9 | 4232733 |
10 | 2265600 |
11 | 13081a7 |
12 | 913140 |
13 | 6142bc |
14 | 42d928 |
15 | 2eb450 |
hex | 229200 |
2265600 has 120 divisors (see below), whose sum is σ = 7611120. Its totient is φ = 593920.
The previous prime is 2265589. The next prime is 2265611. The reversal of 2265600 is 65622.
It is an interprime number because it is at equal distance from previous prime (2265589) and next prime (2265611).
It is a tau number, because it is divible by the number of its divisors (120).
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 38371 + ... + 38429.
It is an arithmetic number, because the mean of its divisors is an integer number (63426).
22265600 is an apocalyptic number.
2265600 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 2265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805560).
2265600 is an abundant number, since it is smaller than the sum of its proper divisors (5345520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2265600 is an equidigital number, since it uses as much as digits as its factorization.
2265600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 69 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 21.
The square root of 2265600 is about 1505.1910177781. The cubic root of 2265600 is about 131.3392137220.
The spelling of 2265600 in words is "two million, two hundred sixty-five thousand, six hundred".
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