Search a number
-
+
2275675776 = 273311311931
BaseRepresentation
bin1000011110100100…
…0000111010000000
312212121002022022000
42013221000322000
514130033111101
61013451344000
7110251632153
oct20751007200
95777068260
102275675776
11a68617990
12536152000
132a360971a
14178339c9a
15d4bb9486
hex87a40e80

2275675776 has 256 divisors, whose sum is σ = 7567257600. Its totient is φ = 667008000.

The previous prime is 2275675697. The next prime is 2275675783. The reversal of 2275675776 is 6775765722.

It is a happy number.

2275675776 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 67 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1177531 + ... + 1179461.

It is an arithmetic number, because the mean of its divisors is an integer number (29559600).

Almost surely, 22275675776 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 2275675776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783628800).

2275675776 is an abundant number, since it is smaller than the sum of its proper divisors (5291581824).

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

2275675776 is a wasteful number, since it uses less digits than its factorization.

2275675776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1978 counting only the distinct ones).

The product of its digits is 8643600, while the sum is 54.

The square root of 2275675776 is about 47704.0436021937. The cubic root of 2275675776 is about 1315.3362691135.

The spelling of 2275675776 in words is "two billion, two hundred seventy-five million, six hundred seventy-five thousand, seven hundred seventy-six".