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12228360 = 2335181563
BaseRepresentation
bin101110101001…
…011100001000
3212000021011020
4232221130020
511112301420
61114032440
7205640124
oct56513410
925007136
1012228360
1169a2391
124118720
1326c1c21
1418a4584
151118340
hexba9708

12228360 has 64 divisors (see below), whose sum is σ = 36953280. Its totient is φ = 3237120.

The previous prime is 12228329. The next prime is 12228367. The reversal of 12228360 is 6382221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12228360.

It is not an unprimeable number, because it can be changed into a prime (12228367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21439 + ... + 22001.

It is an arithmetic number, because the mean of its divisors is an integer number (577395).

Almost surely, 212228360 is an apocalyptic number.

12228360 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 12228360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476640).

12228360 is an abundant number, since it is smaller than the sum of its proper divisors (24724920).

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

12228360 is a wasteful number, since it uses less digits than its factorization.

12228360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12228360 is about 3496.9072049455. The cubic root of 12228360 is about 230.3859933132.

It can be divided in two parts, 122 and 28360, that added together give a palindrome (28482).

The spelling of 12228360 in words is "twelve million, two hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 362 543 563 724 905 1086 1126 1448 1689 1810 2172 2252 2715 2815 3378 3620 4344 4504 5430 5630 6756 7240 8445 10860 11260 13512 16890 21720 22520 33780 67560 101903 203806 305709 407612 509515 611418 815224 1019030 1222836 1528545 2038060 2445672 3057090 4076120 6114180 12228360