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2256866441 is a prime number
BaseRepresentation
bin1000011010000101…
…0000110010001001
312211021200200201222
42012201100302021
514110224211231
61011540251425
7106633022354
oct20641206211
95737620658
102256866441
11a58a40185
1252b9a0b75
1329c75223b
14175a4129b
15d320127b
hex86850c89

2256866441 has 2 divisors, whose sum is σ = 2256866442. Its totient is φ = 2256866440.

The previous prime is 2256866347. The next prime is 2256866477. The reversal of 2256866441 is 1446686522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1955496841 + 301369600 = 44221^2 + 17360^2 .

It is a cyclic number.

It is not a de Polignac number, because 2256866441 - 222 = 2252672137 is a prime.

It is a super-2 number, since 2×22568664412 = 10186892265024012962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2256866392 and 2256866401.

It is not a weakly prime, because it can be changed into another prime (2256866041) 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 as a sum of consecutive naturals, namely, 1128433220 + 1128433221.

It is an arithmetic number, because the mean of its divisors is an integer number (1128433221).

Almost surely, 22256866441 is an apocalyptic number.

It is an amenable number.

2256866441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2256866441 is an equidigital number, since it uses as much as digits as its factorization.

2256866441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 552960, while the sum is 44.

The square root of 2256866441 is about 47506.4884094794. The cubic root of 2256866441 is about 1311.7023187000.

The spelling of 2256866441 in words is "two billion, two hundred fifty-six million, eight hundred sixty-six thousand, four hundred forty-one".