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2290505056 = 25731732257
BaseRepresentation
bin1000100010000110…
…0101010101100000
312220121222201020121
42020201211111200
514142332130211
61015141250024
7110521654210
oct21041452540
95817881217
102290505056
11a75a26394
1253b103914
132a66cc448
1417a2ba240
15d6148271
hex88865560

2290505056 has 48 divisors (see below), whose sum is σ = 5170054176. Its totient is φ = 978518016.

The previous prime is 2290505053. The next prime is 2290505069. The reversal of 2290505056 is 6505050922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290505051) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54880 + ... + 87136.

It is an arithmetic number, because the mean of its divisors is an integer number (107709462).

Almost surely, 22290505056 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 2290505056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585027088).

2290505056 is an abundant number, since it is smaller than the sum of its proper divisors (2879549120).

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

2290505056 is a wasteful number, since it uses less digits than its factorization.

2290505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32591 (or 32583 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 2290505056 is about 47859.2212222472. The cubic root of 2290505056 is about 1318.1871839995.

Adding to 2290505056 its reverse (6505050922), we get a palindrome (8795555978).

The spelling of 2290505056 in words is "two billion, two hundred ninety million, five hundred five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 317 634 1268 2219 2536 4438 5072 8876 10144 17752 32257 35504 64514 71008 129028 225799 258056 451598 516112 903196 1032224 1806392 3612784 7225568 10225469 20450938 40901876 71578283 81803752 143156566 163607504 286313132 327215008 572626264 1145252528 2290505056