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12244200 = 2335220407
BaseRepresentation
bin101110101101…
…010011101000
3212001001212220
4232231103220
511113303300
61114234040
7206034243
oct56552350
925031786
1012244200
116a03281
124125920
1326c91b7
1418aa25a
15111cda0
hexbad4e8

12244200 has 48 divisors (see below), whose sum is σ = 37958880. Its totient is φ = 3264960.

The previous prime is 12244187. The next prime is 12244201. The reversal of 12244200 is 244221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12244200.

It is not an unprimeable number, because it can be changed into a prime (12244201) 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 11 ways as a sum of consecutive naturals, for example, 9604 + ... + 10803.

It is an arithmetic number, because the mean of its divisors is an integer number (790810).

Almost surely, 212244200 is an apocalyptic number.

12244200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12244200 is an abundant number, since it is smaller than the sum of its proper divisors (25714680).

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

12244200 is a wasteful number, since it uses less digits than its factorization.

12244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20426 (or 20417 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 12244200 is about 3499.1713304724. The cubic root of 12244200 is about 230.4854271854.

Adding to 12244200 its reverse (244221), we get a palindrome (12488421).

The spelling of 12244200 in words is "twelve million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 20407 40814 61221 81628 102035 122442 163256 204070 244884 306105 408140 489768 510175 612210 816280 1020350 1224420 1530525 2040700 2448840 3061050 4081400 6122100 12244200