Search a number
-
+
2268740448 = 2533131910631
BaseRepresentation
bin1000011100111010…
…0011101101100000
312212010000221211000
42013032203231200
514121244143243
61013042552000
7110135655432
oct20716435540
95763027730
102268740448
11a64710307
12533968600
132a204ba90
14177452652
15d42995d3
hex873a3b60

2268740448 has 192 divisors, whose sum is σ = 7501939200. Its totient is φ = 661271040.

The previous prime is 2268740443. The next prime is 2268740459. The reversal of 2268740448 is 8440478622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268740443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208093 + ... + 218723.

It is an arithmetic number, because the mean of its divisors is an integer number (39072600).

Almost surely, 22268740448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268740448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750969600).

2268740448 is an abundant number, since it is smaller than the sum of its proper divisors (5233198752).

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

2268740448 is a wasteful number, since it uses less digits than its factorization.

2268740448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2268740448 is about 47631.2969380427. The cubic root of 2268740448 is about 1313.9987072817.

The spelling of 2268740448 in words is "two billion, two hundred sixty-eight million, seven hundred forty thousand, four hundred forty-eight".