Base | Representation |
---|---|
bin | 1000101100001010000000 |
3 | 11021201211222 |
4 | 20230022000 |
5 | 1040344031 |
6 | 120454212 |
7 | 25235306 |
oct | 10541200 |
9 | 4251758 |
10 | 2278016 |
11 | 1316564 |
12 | 91a368 |
13 | 619b50 |
14 | 434276 |
15 | 2eee7b |
hex | 22c280 |
2278016 has 48 divisors (see below), whose sum is σ = 5022990. Its totient is φ = 1022976.
The previous prime is 2278007. The next prime is 2278019. The reversal of 2278016 is 6108722.
It can be written as a sum of positive squares in 3 ways, for example, as 2238016 + 40000 = 1496^2 + 200^2 .
It is a Harshad number since it is a multiple of its sum of digits (26).
It is an Ulam number.
It is a d-powerful number, because it can be written as 217 + 221 + 75 + 85 + 0 + 1 + 63 .
It is not an unprimeable number, because it can be changed into a prime (2278019) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61550 + ... + 61586.
22278016 is an apocalyptic number.
2278016 is a gapful number since it is divisible by the number (26) 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 2278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511495).
2278016 is an abundant number, since it is smaller than the sum of its proper divisors (2744974).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2278016 is an equidigital number, since it uses as much as digits as its factorization.
2278016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 101 (or 52 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 26.
The square root of 2278016 is about 1509.3097760235. The cubic root of 2278016 is about 131.5786996318.
Multiplying 2278016 by its sum of digits (26), we get a square (59228416 = 76962).
2278016 divided by its sum of digits (26) gives a square (87616 = 2962).
The spelling of 2278016 in words is "two million, two hundred seventy-eight thousand, sixteen".
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