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201214225 = 5228372
BaseRepresentation
bin10111111111001…
…00100100010001
3112000121202000201
423333210210101
5403002323400
631544415201
74662202252
oct1377444421
9460552021
10201214225
11a3642253
1257477501
13328c0b94
141ca1ab29
15129e906a
hexbfe4911

201214225 has 9 divisors (see below), whose sum is σ = 249593617. Its totient is φ = 160914640.

The previous prime is 201214171. The next prime is 201214231. The reversal of 201214225 is 522412102.

The square root of 201214225 is 14185.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 91718929 + 109495296 = 9577^2 + 10464^2 .

It is not a de Polignac number, because 201214225 - 29 = 201213713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69507 + ... + 72343.

Almost surely, 2201214225 is an apocalyptic number.

201214225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201214225 is the 14185-th square number.

201214225 is the 7093-rd centered octagonal number.

It is an amenable number.

201214225 is a deficient number, since it is larger than the sum of its proper divisors (48379392).

201214225 is an frugal number, since it uses more digits than its factorization.

201214225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The cubic root of 201214225 is about 585.9846324990.

Adding to 201214225 its reverse (522412102), we get a palindrome (723626327).

The spelling of 201214225 in words is "two hundred one million, two hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 25 2837 14185 70925 8048569 40242845 201214225