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2256448325 = 5241253693
BaseRepresentation
bin1000011001111110…
…1010101101000101
312211020220110012012
42012133222231011
514110122321300
61011523304005
7106626331355
oct20637525505
95736813165
102256448325
11a5878502a
1252b81b005
1329c636b31
14175972b65
15d316c435
hex867eab45

2256448325 has 18 divisors (see below), whose sum is σ = 2867957622. Its totient is φ = 1761097600.

The previous prime is 2256448321. The next prime is 2256448331. The reversal of 2256448325 is 5238446522.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 2046024289 + 210424036 = 45233^2 + 14506^2 .

It is not a de Polignac number, because 2256448325 - 22 = 2256448321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256448321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15179 + ... + 68871.

It is an arithmetic number, because the mean of its divisors is an integer number (159330979).

Almost surely, 22256448325 is an apocalyptic number.

2256448325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2256448325 is a deficient number, since it is larger than the sum of its proper divisors (611509297).

2256448325 is an equidigital number, since it uses as much as digits as its factorization.

2256448325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53785 (or 53739 counting only the distinct ones).

The product of its digits is 460800, while the sum is 41.

The square root of 2256448325 is about 47502.0875857051. The cubic root of 2256448325 is about 1311.6213099779.

The spelling of 2256448325 in words is "two billion, two hundred fifty-six million, four hundred forty-eight thousand, three hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1681 8405 42025 53693 268465 1342325 2201413 11007065 55035325 90257933 451289665 2256448325