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22243513050 = 232521131114449
BaseRepresentation
bin10100101101110100…
…010001001011011010
32010102012002112120200
4110231310101023122
5331023314404200
614115111403030
71415133512163
oct245564211332
963365075520
1022243513050
119484979640
124389383476
132136432b55
14111024c76a
158a2bd0800
hex52dd112da

22243513050 has 144 divisors (see below), whose sum is σ = 65407867200. Its totient is φ = 5374656000.

The previous prime is 22243513013. The next prime is 22243513079. The reversal of 22243513050 is 5031534222.

It is a happy number.

22243513050 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 351 + 305 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1532226 + ... + 1546674.

It is an arithmetic number, because the mean of its divisors is an integer number (454221300).

Almost surely, 222243513050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22243513050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32703933600).

22243513050 is an abundant number, since it is smaller than the sum of its proper divisors (43164354150).

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

22243513050 is a wasteful number, since it uses less digits than its factorization.

22243513050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14789 (or 14781 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 22243513050 in words is "twenty-two billion, two hundred forty-three million, five hundred thirteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 311 330 450 495 550 622 825 933 990 1555 1650 1866 2475 2799 3110 3421 4665 4950 5598 6842 7775 9330 10263 13995 14449 15550 17105 20526 23325 27990 28898 30789 34210 43347 46650 51315 61578 69975 72245 85525 86694 102630 130041 139950 144490 153945 158939 171050 216735 256575 260082 307890 317878 361225 433470 476817 513150 650205 722450 769725 794695 953634 1083675 1300410 1430451 1539450 1589390 2167350 2384085 2860902 3251025 3973475 4493639 4768170 6502050 7152255 7946950 8987278 11920425 13480917 14304510 22468195 23840850 26961834 35761275 40442751 44936390 49430029 67404585 71522550 80885502 98860058 112340975 134809170 148290087 202213755 224681950 247150145 296580174 337022925 404427510 444870261 494300290 674045850 741450435 889740522 1011068775 1235750725 1482900870 2022137550 2224351305 2471501450 3707252175 4448702610 7414504350 11121756525 22243513050