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12204257 = 135317713
BaseRepresentation
bin101110100011…
…100011100001
3211222001002112
4232203203201
511111014012
61113325105
7205506632
oct56434341
924861075
1012204257
11698626a
124106795
1326b3c70
141899889
151111122
hexba38e1

12204257 has 8 divisors (see below), whose sum is σ = 13391784. Its totient is φ = 11052288.

The previous prime is 12204253. The next prime is 12204259. The reversal of 12204257 is 75240221.

It is a happy number.

12204257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 8579041 = 1904^2 + 2929^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12204257 - 22 = 12204253 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12204253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8168 + ... + 9545.

It is an arithmetic number, because the mean of its divisors is an integer number (1673973).

Almost surely, 212204257 is an apocalyptic number.

It is an amenable number.

12204257 is a deficient number, since it is larger than the sum of its proper divisors (1187527).

12204257 is a wasteful number, since it uses less digits than its factorization.

12204257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17779.

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 12204257 is about 3493.4591739421. The cubic root of 12204257 is about 230.2345244858.

Adding to 12204257 its reverse (75240221), we get a palindrome (87444478).

The spelling of 12204257 in words is "twelve million, two hundred four thousand, two hundred fifty-seven".

Divisors: 1 13 53 689 17713 230269 938789 12204257