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214230225 = 352111979173
BaseRepresentation
bin11001100010011…
…10010011010001
3112221010000121210
430301032103101
5414320331400
633131410333
75210632626
oct1461162321
9487100553
10214230225
11aaa22380
125b8b39a9
13354ca461
142064834d
1513c1a950
hexcc4e4d1

214230225 has 96 divisors (see below), whose sum is σ = 414259200. Its totient is φ = 96595200.

The previous prime is 214230197. The next prime is 214230227. The reversal of 214230225 is 522032412.

It is not a de Polignac number, because 214230225 - 26 = 214230161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214230227) 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 95 ways as a sum of consecutive naturals, for example, 1238239 + ... + 1238411.

It is an arithmetic number, because the mean of its divisors is an integer number (4315200).

Almost surely, 2214230225 is an apocalyptic number.

214230225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214230225 is a deficient number, since it is larger than the sum of its proper divisors (200028975).

214230225 is a wasteful number, since it uses less digits than its factorization.

214230225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 214230225 is about 14636.6056515847. The cubic root of 214230225 is about 598.3568235041.

Adding to 214230225 its reverse (522032412), we get a palindrome (736262637).

The spelling of 214230225 in words is "two hundred fourteen million, two hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 19 25 33 55 57 75 79 95 165 173 209 237 275 285 395 475 519 627 825 865 869 1045 1185 1425 1501 1903 1975 2595 2607 3135 3287 4325 4345 4503 5225 5709 5925 7505 9515 9861 12975 13035 13667 15675 16435 16511 21725 22515 28545 36157 37525 41001 47575 49305 49533 65175 68335 82175 82555 108471 112575 142725 150337 180785 205005 246525 247665 259673 341675 412775 451011 542355 751685 779019 903925 1025025 1238325 1298365 2255055 2711775 2856403 3758425 3895095 6491825 8569209 11275275 14282015 19475475 42846045 71410075 214230225