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11244200 = 23521119269
BaseRepresentation
bin101010111001…
…001010101000
3210011021010212
4222321022220
510334303300
61041000252
7164400632
oct52711250
923137125
1011244200
11638aa30
123923088
132438c96
1416c9a52
15ec1935
hexab92a8

11244200 has 96 divisors (see below), whose sum is σ = 30132000. Its totient is φ = 3859200.

The previous prime is 11244193. The next prime is 11244221. The reversal of 11244200 is 244211.

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 23 ways as a sum of consecutive naturals, for example, 41666 + ... + 41934.

It is an arithmetic number, because the mean of its divisors is an integer number (313875).

Almost surely, 211244200 is an apocalyptic number.

11244200 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 11244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066000).

11244200 is an abundant number, since it is smaller than the sum of its proper divisors (18887800).

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

11244200 is a wasteful number, since it uses less digits than its factorization.

11244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 11244200 is about 3353.2372418306. The cubic root of 11244200 is about 224.0317238233.

Adding to 11244200 its reverse (244211), we get a palindrome (11488411).

The spelling of 11244200 in words is "eleven million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 269 275 380 418 440 475 538 550 760 836 950 1045 1076 1100 1345 1672 1900 2090 2152 2200 2690 2959 3800 4180 5111 5225 5380 5918 6725 8360 10222 10450 10760 11836 13450 14795 20444 20900 23672 25555 26900 29590 40888 41800 51110 53800 56221 59180 73975 102220 112442 118360 127775 147950 204440 224884 255550 281105 295900 449768 511100 562210 591800 1022200 1124420 1405525 2248840 2811050 5622100 11244200