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252211201 = 111711231201
BaseRepresentation
bin11110000100001…
…11000000000001
3122120120122201121
433002013000001
51004031224301
641005432241
76151521424
oct1702070001
9576518647
10252211201
1111a404010
127056b681
1340337cc8
14256d39bb
151721e3a1
hexf087001

252211201 has 16 divisors (see below), whose sum is σ = 291826368. Its totient is φ = 215424000.

The previous prime is 252211199. The next prime is 252211217. The reversal of 252211201 is 102112252.

It is a happy number.

It is not a de Polignac number, because 252211201 - 21 = 252211199 is a prime.

It is a super-3 number, since 3×2522112013 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252211291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209401 + ... + 210601.

It is an arithmetic number, because the mean of its divisors is an integer number (18239148).

Almost surely, 2252211201 is an apocalyptic number.

It is an amenable number.

252211201 is a deficient number, since it is larger than the sum of its proper divisors (39615167).

252211201 is a wasteful number, since it uses less digits than its factorization.

252211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 252211201 is about 15881.1586793911. The cubic root of 252211201 is about 631.8123683577.

Adding to 252211201 its reverse (102112252), we get a palindrome (354323453).

The spelling of 252211201 in words is "two hundred fifty-two million, two hundred eleven thousand, two hundred one".

Divisors: 1 11 17 187 1123 1201 12353 13211 19091 20417 210001 224587 1348723 14835953 22928291 252211201