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2014914625 = 5318189057
BaseRepresentation
bin111100000011001…
…0010100001000001
312012102102021020121
41320012102201001
513111304232000
6531534340241
7100634330443
oct17006224101
95172367217
102014914625
119444041a9
1248295a681
13261599b99
1415185c493
15bbd5bb1a
hex78192841

2014914625 has 16 divisors (see below), whose sum is σ = 2528534736. Its totient is φ = 1603008000.

The previous prime is 2014914623. The next prime is 2014914631. The reversal of 2014914625 is 5264194102.

It can be written as a sum of positive squares in 8 ways, for example, as 1727815489 + 287099136 = 41567^2 + 16944^2 .

It is not a de Polignac number, because 2014914625 - 21 = 2014914623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2014914623) 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 15 ways as a sum of consecutive naturals, for example, 21904 + ... + 67153.

It is an arithmetic number, because the mean of its divisors is an integer number (158033421).

Almost surely, 22014914625 is an apocalyptic number.

2014914625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2014914625 is a deficient number, since it is larger than the sum of its proper divisors (513620111).

2014914625 is an equidigital number, since it uses as much as digits as its factorization.

2014914625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89253 (or 89243 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2014914625 is about 44887.8004027820. The cubic root of 2014914625 is about 1263.0451718634.

It can be divided in two parts, 201491 and 4625, that added together give a square (206116 = 4542).

The spelling of 2014914625 in words is "two billion, fourteen million, nine hundred fourteen thousand, six hundred twenty-five".

Divisors: 1 5 25 125 181 905 4525 22625 89057 445285 2226425 11132125 16119317 80596585 402982925 2014914625