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12242234200 = 235279790149
BaseRepresentation
bin10110110011011000…
…11010101101011000
31011121011220221012111
423121230122231120
5200033002443300
65342441322104
7612242162620
oct133154325530
934534827174
1012242234200
115212470829
122457a96334
1312013b8581
14841c75880
154b9b6d9ba
hex2d9b1ab58

12242234200 has 96 divisors (see below), whose sum is σ = 32865084000. Its totient is φ = 4154019840.

The previous prime is 12242234189. The next prime is 12242234201. The reversal of 12242234200 is 243224221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242234201) 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, 90726 + ... + 180874.

It is an arithmetic number, because the mean of its divisors is an integer number (342344625).

Almost surely, 212242234200 is an apocalyptic number.

12242234200 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 12242234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432542000).

12242234200 is an abundant number, since it is smaller than the sum of its proper divisors (20622849800).

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

12242234200 is a wasteful number, since it uses less digits than its factorization.

12242234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90269 (or 90260 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12242234200 its reverse (243224221), we get a palindrome (12485458421).

The spelling of 12242234200 in words is "twelve billion, two hundred forty-two million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 140 175 194 200 280 350 388 485 679 700 776 970 1358 1400 1940 2425 2716 3395 3880 4850 5432 6790 9700 13580 16975 19400 27160 33950 67900 90149 135800 180298 360596 450745 631043 721192 901490 1262086 1802980 2253725 2524172 3155215 3605960 4507450 5048344 6310430 8744453 9014900 12620860 15776075 17488906 18029800 25241720 31552150 34977812 43722265 61211171 63104300 69955624 87444530 122422342 126208600 174889060 218611325 244844684 306055855 349778120 437222650 489689368 612111710 874445300 1224223420 1530279275 1748890600 2448446840 3060558550 6121117100 12242234200