Base | Representation |
---|---|
bin | 1000011001010110000000 |
3 | 11010211011001 |
4 | 20121112000 |
5 | 1030412320 |
6 | 115101344 |
7 | 24464536 |
oct | 10312600 |
9 | 4124131 |
10 | 2200960 |
11 | 1273683 |
12 | 8a1854 |
13 | 5c0a58 |
14 | 414156 |
15 | 2d720a |
hex | 219580 |
2200960 has 64 divisors (see below), whose sum is σ = 5569200. Its totient is φ = 829440.
The previous prime is 2200949. The next prime is 2200967. The reversal of 2200960 is 690022.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (19).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2200967) 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 7 ways as a sum of consecutive naturals, for example, 12070 + ... + 12250.
22200960 is an apocalyptic number.
2200960 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 2200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784600).
2200960 is an abundant number, since it is smaller than the sum of its proper divisors (3368240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2200960 is a wasteful number, since it uses less digits than its factorization.
2200960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 219 (or 207 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
The square root of 2200960 is about 1483.5632780573. The cubic root of 2200960 is about 130.0780596279.
Adding to 2200960 its reverse (690022), we get a palindrome (2890982).
It can be divided in two parts, 2200 and 960, that added together give a triangular number (3160 = T79).
The spelling of 2200960 in words is "two million, two hundred thousand, nine hundred sixty".
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