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12442200 = 2335289233
BaseRepresentation
bin101111011101…
…101001011000
3212102010111020
4233131221120
511141122300
61122402440
7210520431
oct57355130
925363436
1012442200
117029011
124200420
132768364
14191c488
15115b8a0
hexbdda58

12442200 has 96 divisors (see below), whose sum is σ = 39171600. Its totient is φ = 3266560.

The previous prime is 12442163. The next prime is 12442201. The reversal of 12442200 is 224421.

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 12442200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53284 + ... + 53516.

Almost surely, 212442200 is an apocalyptic number.

12442200 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 12442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585800).

12442200 is an abundant number, since it is smaller than the sum of its proper divisors (26729400).

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

12442200 is a wasteful number, since it uses less digits than its factorization.

12442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

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

The square root of 12442200 is about 3527.3502803096. The cubic root of 12442200 is about 231.7211771274.

Adding to 12442200 its reverse (224421), we get a palindrome (12666621).

It can be divided in two parts, 124 and 42200, that added together give a palindrome (42324).

The spelling of 12442200 in words is "twelve million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 233 267 300 356 445 466 534 600 699 712 890 932 1068 1165 1335 1398 1780 1864 2136 2225 2330 2670 2796 3495 3560 4450 4660 5340 5592 5825 6675 6990 8900 9320 10680 11650 13350 13980 17475 17800 20737 23300 26700 27960 34950 41474 46600 53400 62211 69900 82948 103685 124422 139800 165896 207370 248844 311055 414740 497688 518425 622110 829480 1036850 1244220 1555275 2073700 2488440 3110550 4147400 6221100 12442200