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12233205 = 325271849
BaseRepresentation
bin101110101010…
…100111110101
3212000111210200
4232222213311
511112430310
61114111113
7205660215
oct56524765
925014720
1012233205
1169a5a96
12411b499
1326c41aa
1418a6245
1511199c0
hexbaa9f5

12233205 has 12 divisors (see below), whose sum is σ = 21204300. Its totient is φ = 6524352.

The previous prime is 12233201. The next prime is 12233209. The reversal of 12233205 is 50233221.

12233205 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (12233201) and next prime (12233209).

It can be written as a sum of positive squares in 2 ways, for example, as 1461681 + 10771524 = 1209^2 + 3282^2 .

It is not a de Polignac number, because 12233205 - 22 = 12233201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135880 + ... + 135969.

It is an arithmetic number, because the mean of its divisors is an integer number (1767025).

Almost surely, 212233205 is an apocalyptic number.

12233205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12233205 is a deficient number, since it is larger than the sum of its proper divisors (8971095).

12233205 is a wasteful number, since it uses less digits than its factorization.

12233205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271860 (or 271857 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 12233205 is about 3497.5998913541. The cubic root of 12233205 is about 230.4164163831.

Adding to 12233205 its reverse (50233221), we get a palindrome (62466426).

The spelling of 12233205 in words is "twelve million, two hundred thirty-three thousand, two hundred five".

Divisors: 1 3 5 9 15 45 271849 815547 1359245 2446641 4077735 12233205