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18045225 = 32521123317
BaseRepresentation
bin100010011010…
…1100100101001
31020221210101200
41010311210221
514104421400
61442434413
7306244662
oct104654451
936853350
1018045225
11a205710
126062a09
13397a763
14257a369
1518b6b00
hex1135929

18045225 has 72 divisors (see below), whose sum is σ = 36908352. Its totient is φ = 8342400.

The previous prime is 18045199. The next prime is 18045253. The reversal of 18045225 is 52254081.

It is a happy number.

It is not a de Polignac number, because 18045225 - 28 = 18044969 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 56767 + ... + 57083.

It is an arithmetic number, because the mean of its divisors is an integer number (512616).

Almost surely, 218045225 is an apocalyptic number.

18045225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18045225 is an abundant number, since it is smaller than the sum of its proper divisors (18863127).

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

18045225 is a wasteful number, since it uses less digits than its factorization.

18045225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 18045225 is about 4247.9671608900. The cubic root of 18045225 is about 262.2934429484.

Subtracting 18045225 from its reverse (52254081), we obtain a triangular number (34208856 = T8271).

The spelling of 18045225 in words is "eighteen million, forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 33 45 55 69 75 99 115 165 207 225 253 275 317 345 495 575 759 825 951 1035 1265 1585 1725 2277 2475 2853 3487 3795 4755 5175 6325 7291 7925 10461 11385 14265 17435 18975 21873 23775 31383 36455 52305 56925 65619 71325 80201 87175 109365 156915 182275 240603 261525 328095 401005 546825 721809 784575 1203015 1640475 2005025 3609045 6015075 18045225