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2154386325 = 352713479659
BaseRepresentation
bin1000000001101001…
…0101001110010101
312120010212011110010
42000122111032111
513403010330300
6553435550433
7104246660460
oct20032251625
95503764403
102154386325
11a06105373
125015bb419
13284450910
141661a62d7
15c920ba50
hex80695395

2154386325 has 96 divisors (see below), whose sum is σ = 4399718400. Its totient is φ = 905829120.

The previous prime is 2154386317. The next prime is 2154386341. The reversal of 2154386325 is 5236834512.

It is a happy number.

It is not a de Polignac number, because 2154386325 - 23 = 2154386317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

Together with 2245332075 it forms an amicable pair .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3268846 + ... + 3269504.

It is an arithmetic number, because the mean of its divisors is an integer number (45830400).

Almost surely, 22154386325 is an apocalyptic number.

2154386325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2154386325 is an abundant number, since it is smaller than the sum of its proper divisors (2245332075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2154386325 is a wasteful number, since it uses less digits than its factorization.

2154386325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1166 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 2154386325 is about 46415.3673366914. The cubic root of 2154386325 is about 1291.5400002509.

The spelling of 2154386325 in words is "two billion, one hundred fifty-four million, three hundred eighty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 479 525 659 975 1365 1437 1977 2275 2395 3295 3353 4613 6227 6825 7185 8567 9885 10059 11975 13839 16475 16765 18681 23065 25701 31135 35925 42835 43589 49425 50295 59969 69195 83825 93405 115325 128505 130767 155675 179907 214175 217945 251475 299845 315661 345975 467025 642525 653835 899535 946983 1089725 1499225 1578305 2209627 3269175 4103593 4497675 4734915 6628881 7891525 11048135 12310779 20517965 23674575 28725151 33144405 55240675 61553895 86175453 102589825 143625755 165722025 307769475 430877265 718128775 2154386325