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23112344200 = 23521118115801
BaseRepresentation
bin10101100001100110…
…100110001010001000
32012122201221201212011
4111201212212022020
5334313230003300
614341225425304
71445513453461
oct254146461210
965581851764
1023112344200
119890352310
12459033b234
13224443551a
1411937b3d68
15904101eba
hex5619a6288

23112344200 has 96 divisors (see below), whose sum is σ = 58663789920. Its totient is φ = 8398400000.

The previous prime is 23112344197. The next prime is 23112344209. The reversal of 23112344200 is 244321132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23112344209) 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, 3981300 + ... + 3987100.

It is an arithmetic number, because the mean of its divisors is an integer number (611081145).

Almost surely, 223112344200 is an apocalyptic number.

23112344200 is a gapful number since it is divisible by the number (20) 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 23112344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29331894960).

23112344200 is an abundant number, since it is smaller than the sum of its proper divisors (35551445720).

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

23112344200 is a wasteful number, since it uses less digits than its factorization.

23112344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 23112344200 its reverse (244321132), we get a palindrome (23356665332).

The spelling of 23112344200 in words is "twenty-three billion, one hundred twelve million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1811 2200 3622 5801 7244 9055 11602 14488 18110 19921 23204 29005 36220 39842 45275 46408 58010 63811 72440 79684 90550 99605 116020 127622 145025 159368 181100 199210 232040 255244 290050 319055 362200 398420 498025 510488 580100 638110 796840 996050 1160200 1276220 1595275 1992100 2552440 3190550 3984200 6381100 10505611 12762200 21011222 42022444 52528055 84044888 105056110 115561721 210112220 231123442 262640275 420224440 462246884 525280550 577808605 924493768 1050561100 1155617210 2101122200 2311234420 2889043025 4622468840 5778086050 11556172100 23112344200