Search a number
-
+
2278116 = 223263281
BaseRepresentation
bin1000101100001011100100
311021201222200
420230023210
51040344431
6120454500
725235511
oct10541344
94251880
102278116
111316645
1291a430
13619bc9
14434308
152eeee6
hex22c2e4

2278116 has 18 divisors (see below), whose sum is σ = 5758662. Its totient is φ = 759360.

The previous prime is 2278109. The next prime is 2278117. The reversal of 2278116 is 6118722.

It can be written as a sum of positive squares in only one way, i.e., 1572516 + 705600 = 1254^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2278116.

It is not an unprimeable number, because it can be changed into a prime (2278117) 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, 31605 + ... + 31676.

22278116 is an apocalyptic number.

It is an amenable number.

2278116 is an abundant number, since it is smaller than the sum of its proper divisors (3480546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2278116 is a wasteful number, since it uses less digits than its factorization.

2278116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63291 (or 63286 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2278116 is about 1509.3429033854. The cubic root of 2278116 is about 131.5806249442.

Subtracting 2278116 from its reverse (6118722), we obtain a triangular number (3840606 = T2771).

The spelling of 2278116 in words is "two million, two hundred seventy-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 63281 126562 189843 253124 379686 569529 759372 1139058 2278116