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12206034 = 23217113353
BaseRepresentation
bin101110100011…
…111111010010
3211222010112100
4232203333102
511111043114
61113341230
7205515051
oct56437722
924863470
1012206034
116987635
124107816
1326b4a09
14189a398
151111909
hexba3fd2

12206034 has 48 divisors (see below), whose sum is σ = 28329912. Its totient is φ = 3784704.

The previous prime is 12206021. The next prime is 12206057. The reversal of 12206034 is 43060221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8105409 + 4100625 = 2847^2 + 2025^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12205998 and 12206016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34402 + ... + 34754.

Almost surely, 212206034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12206034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164956).

12206034 is an abundant number, since it is smaller than the sum of its proper divisors (16123878).

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

12206034 is a wasteful number, since it uses less digits than its factorization.

12206034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12206034 is about 3493.7134971259. The cubic root of 12206034 is about 230.2456983709.

Adding to 12206034 its reverse (43060221), we get a palindrome (55266255).

The spelling of 12206034 in words is "twelve million, two hundred six thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 353 678 706 1017 1059 1921 2034 2118 3177 3842 5763 6001 6354 11526 12002 17289 18003 34578 36006 39889 54009 79778 108018 119667 239334 359001 678113 718002 1356226 2034339 4068678 6103017 12206034