Search a number
-
+
2300471056 = 241319230637
BaseRepresentation
bin1000100100011110…
…0110011100010000
312221022202001000201
42021013212130100
514202410033211
61020135024544
7111002452462
oct21107463420
95838661021
102300471056
11a80612a54
1254250b154
132a87ab6a0
1417b752132
15d6e660c1
hex891e6710

2300471056 has 60 divisors (see below), whose sum is σ = 5066115852. Its totient is φ = 1005841152.

The previous prime is 2300471039. The next prime is 2300471057. The reversal of 2300471056 is 6501740032.

It can be written as a sum of positive squares in 2 ways, for example, as 1353062656 + 947408400 = 36784^2 + 30780^2 .

It is not an unprimeable number, because it can be changed into a prime (2300471057) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59770 + ... + 90406.

Almost surely, 22300471056 is an apocalyptic number.

2300471056 is a gapful number since it is divisible by the number (26) 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 2300471056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533057926).

2300471056 is an abundant number, since it is smaller than the sum of its proper divisors (2765644796).

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

2300471056 is a wasteful number, since it uses less digits than its factorization.

2300471056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30696 (or 30671 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2300471056 is about 47963.2260799876. The cubic root of 2300471056 is about 1320.0962311233.

The spelling of 2300471056 in words is "two billion, three hundred million, four hundred seventy-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 361 494 722 988 1444 1976 2888 3952 4693 5776 9386 18772 30637 37544 61274 75088 122548 245096 398281 490192 582103 796562 1164206 1593124 2328412 3186248 4656824 6372496 7567339 9313648 11059957 15134678 22119914 30269356 44239828 60538712 88479656 121077424 143779441 176959312 287558882 575117764 1150235528 2300471056