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2014312525 = 52891735233
BaseRepresentation
bin111100000001111…
…1111100001001101
312012101021200022121
41320003333201031
513111131000100
6531513412541
7100626242161
oct17003774115
95171250277
102014312525
119440328a5
1248270a151
13261418b04
14151742ca1
15bbc8d51a
hex780ff84d

2014312525 has 24 divisors (see below), whose sum is σ = 2540897640. Its totient is φ = 1583831040.

The previous prime is 2014312519. The next prime is 2014312571. The reversal of 2014312525 is 5252134102.

It can be written as a sum of positive squares in 12 ways, for example, as 54125449 + 1960187076 = 7357^2 + 44274^2 .

It is not a de Polignac number, because 2014312525 - 27 = 2014312397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 2014312525.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 382309 + ... + 387541.

It is an arithmetic number, because the mean of its divisors is an integer number (105870735).

Almost surely, 22014312525 is an apocalyptic number.

2014312525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2014312525 is a deficient number, since it is larger than the sum of its proper divisors (526585115).

2014312525 is a wasteful number, since it uses less digits than its factorization.

2014312525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2014312525 is about 44881.0931796453. The cubic root of 2014312525 is about 1262.9193509394.

Adding to 2014312525 its reverse (5252134102), we get a palindrome (7266446627).

The spelling of 2014312525 in words is "two billion, fourteen million, three hundred twelve thousand, five hundred twenty-five".

Divisors: 1 5 25 89 173 445 865 2225 4325 5233 15397 26165 76985 130825 384925 465737 905309 2328685 4526545 11643425 22632725 80572501 402862505 2014312525