Search a number
-
+
2275319808 = 21337127
BaseRepresentation
bin1000011110011110…
…1010000000000000
312212120102020000000
42013213222000000
514124440213213
61013440000000
7110245620306
oct20747520000
95776366000
102275319808
11a683a44a3
12536000000
132a35136a8
14178286276
15d4b48c73
hex879ea000

2275319808 has 224 divisors, whose sum is σ = 6878238720. Its totient is φ = 752467968.

The previous prime is 2275319791. The next prime is 2275319861. The reversal of 2275319808 is 8089135722.

It is a happy number.

2275319808 is a `hidden beast` number, since 2 + 27 + 531 + 98 + 0 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17915841 + ... + 17915967.

Almost surely, 22275319808 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 2275319808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439119360).

2275319808 is an abundant number, since it is smaller than the sum of its proper divisors (4602918912).

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

2275319808 is an frugal number, since it uses more digits than its factorization.

2275319808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2275319808 is about 47700.3124518069. The cubic root of 2275319808 is about 1315.2676825950.

The spelling of 2275319808 in words is "two billion, two hundred seventy-five million, three hundred nineteen thousand, eight hundred eight".