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12233640 = 2335971051
BaseRepresentation
bin101110101010…
…101110101000
3212000112101210
4232222232220
511112434030
61114113120
7205661406
oct56525650
925015353
1012233640
1169a6351
12411b7a0
1326c4453
1418a6476
151119bb0
hexbaaba8

12233640 has 64 divisors (see below), whose sum is σ = 37114560. Its totient is φ = 3225600.

The previous prime is 12233593. The next prime is 12233647. The reversal of 12233640 is 4633221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12233647) 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 15 ways as a sum of consecutive naturals, for example, 11115 + ... + 12165.

It is an arithmetic number, because the mean of its divisors is an integer number (579915).

Almost surely, 212233640 is an apocalyptic number.

12233640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18557280).

12233640 is an abundant number, since it is smaller than the sum of its proper divisors (24880920).

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

12233640 is a wasteful number, since it uses less digits than its factorization.

12233640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 12233640 is about 3497.6620763018. The cubic root of 12233640 is about 230.4191474731.

Adding to 12233640 its reverse (4633221), we get a palindrome (16866861).

The spelling of 12233640 in words is "twelve million, two hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1051 1164 1455 1940 2102 2328 2910 3153 3880 4204 5255 5820 6306 8408 10510 11640 12612 15765 21020 25224 31530 42040 63060 101947 126120 203894 305841 407788 509735 611682 815576 1019470 1223364 1529205 2038940 2446728 3058410 4077880 6116820 12233640