Search a number
-
+
2280555648 = 273472672
BaseRepresentation
bin1000011111101110…
…1000010010000000
312212221021020020000
42013323220102000
514132310240043
61014144120000
7110341255200
oct20773502200
95787236200
102280555648
11a70350238
12537906000
132a4627917
14178c4a400
15d53302d3
hex87ee8480

2280555648 has 360 divisors, whose sum is σ = 8014555395. Its totient is φ = 641862144.

The previous prime is 2280555601. The next prime is 2280555653. The reversal of 2280555648 is 8465550822.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2280555648 is a `hidden beast` number, since 2 + 2 + 80 + 5 + 5 + 564 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1140277824 + 1140277824 = 33768^2 + 33768^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34038111 + ... + 34038177.

Almost surely, 22280555648 is an apocalyptic number.

2280555648 is a gapful number since it is divisible by the number (28) 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 2280555648

2280555648 is an abundant number, since it is smaller than the sum of its proper divisors (5733999747).

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

2280555648 is an frugal number, since it uses more digits than its factorization.

2280555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 2280555648 is about 47755.1635742147. The cubic root of 2280555648 is about 1316.2757834577.

The spelling of 2280555648 in words is "two billion, two hundred eighty million, five hundred fifty-five thousand, six hundred forty-eight".