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13854225 = 3527112399
BaseRepresentation
bin110100110110…
…011000010001
3222001212102110
4310312120101
512021313400
61212535533
7225521220
oct64663021
928055373
1013854225
117902980
1247815a9
132b40c88
141ba8cb7
151339e50
hexd36611

13854225 has 48 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 5755200.

The previous prime is 13854223. The next prime is 13854229. The reversal of 13854225 is 52245831.

It is not a de Polignac number, because 13854225 - 21 = 13854223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13854192 and 13854201.

It is not an unprimeable number, because it can be changed into a prime (13854223) 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 47 ways as a sum of consecutive naturals, for example, 4576 + ... + 6974.

It is an arithmetic number, because the mean of its divisors is an integer number (595200).

Almost surely, 213854225 is an apocalyptic number.

13854225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13854225 is an abundant number, since it is smaller than the sum of its proper divisors (14715375).

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

13854225 is a wasteful number, since it uses less digits than its factorization.

13854225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2425 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 13854225 is about 3722.1264083854. The cubic root of 13854225 is about 240.1747858715.

The spelling of 13854225 in words is "thirteen million, eight hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 2399 5775 7197 11995 16793 26389 35985 50379 59975 79167 83965 131945 179925 184723 251895 395835 419825 554169 659725 923615 1259475 1979175 2770845 4618075 13854225