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2144890825 = 5271147151157
BaseRepresentation
bin111111111011000…
…0110111111001001
312112110222202001221
41333312012333021
513343043001300
6552500242041
7104103162010
oct17766067711
95473882057
102144890825
11a0080a250
124ba3a0321
132824a788c
14164c13a77
15c848331a
hex7fd86fc9

2144890825 has 96 divisors (see below), whose sum is σ = 3430637568. Its totient is φ = 1291680000.

The previous prime is 2144890823. The next prime is 2144890841. The reversal of 2144890825 is 5280984412.

It is not a de Polignac number, because 2144890825 - 21 = 2144890823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2144890823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13661647 + ... + 13661803.

It is an arithmetic number, because the mean of its divisors is an integer number (35735808).

Almost surely, 22144890825 is an apocalyptic number.

2144890825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2144890825 is a deficient number, since it is larger than the sum of its proper divisors (1285746743).

2144890825 is a wasteful number, since it uses less digits than its factorization.

2144890825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 2144890825 is about 46312.9660570342. The cubic root of 2144890825 is about 1289.6397096900.

The spelling of 2144890825 in words is "two billion, one hundred forty-four million, eight hundred ninety thousand, eight hundred twenty-five".

Divisors: 1 5 7 11 25 35 47 55 77 151 157 175 235 275 329 385 517 755 785 1057 1099 1175 1645 1661 1727 1925 2585 3619 3775 3925 5285 5495 7097 7379 8225 8305 8635 11627 12089 12925 18095 23707 26425 27475 35485 36895 41525 43175 49679 51653 58135 60445 78067 81169 90475 118535 165949 177425 184475 248395 258265 260777 290675 302225 390335 405845 546469 568183 592675 829745 1114229 1241975 1291325 1303885 1825439 1951675 2029225 2732345 2840915 4148725 5571145 6519425 7799603 9127195 12256519 13661725 14204575 27855725 38998015 45635975 61282595 85795633 194990075 306412975 428978165 2144890825