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12204468 = 22321811873
BaseRepresentation
bin101110100011…
…100110110100
3211222001101100
4232203212310
511111020333
61113330100
7205510353
oct56434664
924861340
1012204468
116986441
124106930
1326b40a3
14189999a
151111213
hexba39b4

12204468 has 36 divisors (see below), whose sum is σ = 31037188. Its totient is φ = 4043520.

The previous prime is 12204463. The next prime is 12204497. The reversal of 12204468 is 86440221.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 11985444 = 468^2 + 3462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5580 + ... + 7452.

Almost surely, 212204468 is an apocalyptic number.

12204468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12204468 is an abundant number, since it is smaller than the sum of its proper divisors (18832720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12204468 is a wasteful number, since it uses less digits than its factorization.

12204468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12204468 is about 3493.4893731053. The cubic root of 12204468 is about 230.2358513235.

Adding to 12204468 its reverse (86440221), we get a palindrome (98644689).

It can be divided in two parts, 12 and 204468, that added together give a triangular number (204480 = T639).

The spelling of 12204468 in words is "twelve million, two hundred four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 1873 2172 3258 3746 5619 6516 7492 11238 16857 22476 33714 67428 339013 678026 1017039 1356052 2034078 3051117 4068156 6102234 12204468