Search a number
-
+
12243144 = 2331926849
BaseRepresentation
bin101110101101…
…000011001000
3212001000102210
4232231003020
511113240034
61114225120
7206031204
oct56550310
925030383
1012243144
116a02501
1241251a0
1326c8884
1418a9b04
15111c8e9
hexbad0c8

12243144 has 32 divisors (see below), whose sum is σ = 32220000. Its totient is φ = 3866112.

The previous prime is 12243139. The next prime is 12243151. The reversal of 12243144 is 44134221.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12243144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12969 + ... + 13880.

It is an arithmetic number, because the mean of its divisors is an integer number (1006875).

Almost surely, 212243144 is an apocalyptic number.

It is an amenable number.

12243144 is an abundant number, since it is smaller than the sum of its proper divisors (19976856).

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

12243144 is a wasteful number, since it uses less digits than its factorization.

12243144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26877 (or 26873 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 12243144 is about 3499.0204343502. The cubic root of 12243144 is about 230.4788009295.

Adding to 12243144 its reverse (44134221), we get a palindrome (56377365).

The spelling of 12243144 in words is "twelve million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 26849 53698 80547 107396 161094 214792 322188 510131 644376 1020262 1530393 2040524 3060786 4081048 6121572 12243144