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12244160 = 26583461
BaseRepresentation
bin101110101101…
…010011000000
3212001001211102
4232231103000
511113303120
61114233532
7206034155
oct56552300
925031742
1012244160
116a03245
1241258a8
1326c9186
1418aa22c
15111cd75
hexbad4c0

12244160 has 56 divisors (see below), whose sum is σ = 29571696. Its totient is φ = 4828160.

The previous prime is 12244147. The next prime is 12244181. The reversal of 12244160 is 6144221.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 26330 + ... + 26790.

It is an arithmetic number, because the mean of its divisors is an integer number (528066).

Almost surely, 212244160 is an apocalyptic number.

12244160 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 12244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785848).

12244160 is an abundant number, since it is smaller than the sum of its proper divisors (17327536).

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

12244160 is an equidigital number, since it uses as much as digits as its factorization.

12244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 12244160 is about 3499.1656148288. The cubic root of 12244160 is about 230.4851761978.

Adding to 12244160 its reverse (6144221), we get a palindrome (18388381).

The spelling of 12244160 in words is "twelve million, two hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 160 166 320 332 415 461 664 830 922 1328 1660 1844 2305 2656 3320 3688 4610 5312 6640 7376 9220 13280 14752 18440 26560 29504 36880 38263 73760 76526 147520 153052 191315 306104 382630 612208 765260 1224416 1530520 2448832 3061040 6122080 12244160