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213120225 = 32522833347
BaseRepresentation
bin11001011001111…
…11010011100001
3112212000121222200
430230333103201
5414024321400
633051523413
75165330523
oct1454772341
9485017880
10213120225
11aa33441a
125b459569
13351cc156
1420439a13
1513a9bb00
hexcb3f4e1

213120225 has 36 divisors (see below), whose sum is σ = 383185296. Its totient is φ = 113228640.

The previous prime is 213120197. The next prime is 213120239. The reversal of 213120225 is 522021312.

It is not a de Polignac number, because 213120225 - 26 = 213120161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213120198 and 213120207.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62002 + ... + 65348.

It is an arithmetic number, because the mean of its divisors is an integer number (10644036).

Almost surely, 2213120225 is an apocalyptic number.

213120225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213120225 is a deficient number, since it is larger than the sum of its proper divisors (170065071).

213120225 is a wasteful number, since it uses less digits than its factorization.

213120225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 213120225 is about 14598.6377789162. The cubic root of 213120225 is about 597.3216031078.

Adding to 213120225 its reverse (522021312), we get a palindrome (735141537).

The spelling of 213120225 in words is "two hundred thirteen million, one hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 283 849 1415 2547 3347 4245 7075 10041 12735 16735 21225 30123 50205 63675 83675 150615 251025 753075 947201 2841603 4736005 8524809 14208015 23680025 42624045 71040075 213120225