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12242152 = 2313532221
BaseRepresentation
bin101110101100…
…110011101000
3212000222002001
4232230303220
511113222102
61114220344
7206025256
oct56546350
925028061
1012242152
116a0178a
1241246b4
1326c82a0
1418a95d6
15111c487
hexbacce8

12242152 has 32 divisors (see below), whose sum is σ = 25197480. Its totient is φ = 5541120.

The previous prime is 12242123. The next prime is 12242161. The reversal of 12242152 is 25124221.

It can be written as a sum of positive squares in 4 ways, for example, as 10536516 + 1705636 = 3246^2 + 1306^2 .

It is a super-2 number, since 2×122421522 = 299740571182208, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4402 + ... + 6622.

Almost surely, 212242152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12242152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12598740).

12242152 is an abundant number, since it is smaller than the sum of its proper divisors (12955328).

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

12242152 is a wasteful number, since it uses less digits than its factorization.

12242152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2289 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 12242152 is about 3498.8786775194. The cubic root of 12242152 is about 230.4725759177.

Adding to 12242152 its reverse (25124221), we get a palindrome (37366373).

The spelling of 12242152 in words is "twelve million, two hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2221 2756 4442 5512 8884 17768 28873 57746 115492 117713 230984 235426 470852 941704 1530269 3060538 6121076 12242152