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18214225 = 521722521
BaseRepresentation
bin100010101111…
…0110101010001
31021021101012221
41011132311101
514130323400
61450221041
7310550461
oct105366521
937241187
1018214225
11a310687
126124781
133a09663
1425c1ba1
1518ebc1a
hex115ed51

18214225 has 18 divisors (see below), whose sum is σ = 24001874. Its totient is φ = 13708800.

The previous prime is 18214223. The next prime is 18214237. The reversal of 18214225 is 52241281.

18214225 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 9 ways, for example, as 6110784 + 12103441 = 2472^2 + 3479^2 .

It is not a de Polignac number, because 18214225 - 21 = 18214223 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18214225.

It is not an unprimeable number, because it can be changed into a prime (18214223) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 5965 + ... + 8485.

Almost surely, 218214225 is an apocalyptic number.

It is an amenable number.

18214225 is a deficient number, since it is larger than the sum of its proper divisors (5787649).

18214225 is a wasteful number, since it uses less digits than its factorization.

18214225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2543 counting only the distinct ones).

The product of its digits is 1280, while the sum is 25.

The square root of 18214225 is about 4267.8126716153. The cubic root of 18214225 is about 263.1097240075.

It can be divided in two parts, 182 and 14225, that multiplied together give a triangular number (2588950 = T2275).

The spelling of 18214225 in words is "eighteen million, two hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 2521 7225 12605 42857 63025 214285 728569 1071425 3642845 18214225