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22145221105 = 5717149439569
BaseRepresentation
bin10100100111111101…
…010100000111110001
32010011100010210101021
4110213331110013301
5330323134033410
614101240535441
71412531162560
oct244775240761
963140123337
1022145221105
119434444427
124360481581
13211bc69937
141101183bd7
15899266eda
hex527f541f1

22145221105 has 64 divisors (see below), whose sum is σ = 32503680000. Its totient is φ = 14138892288.

The previous prime is 22145221097. The next prime is 22145221151. The reversal of 22145221105 is 50112254122.

It is a cyclic number.

It is not a de Polignac number, because 22145221105 - 23 = 22145221097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22145221105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38919261 + ... + 38919829.

It is an arithmetic number, because the mean of its divisors is an integer number (507870000).

Almost surely, 222145221105 is an apocalyptic number.

It is an amenable number.

22145221105 is a deficient number, since it is larger than the sum of its proper divisors (10358458895).

22145221105 is a wasteful number, since it uses less digits than its factorization.

22145221105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186.

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 22145221105 its reverse (50112254122), we get a palindrome (72257475227).

The spelling of 22145221105 in words is "twenty-two billion, one hundred forty-five million, two hundred twenty-one thousand, one hundred five".

Divisors: 1 5 7 17 35 85 119 149 439 569 595 745 1043 2195 2533 2845 3073 3983 5215 7463 9673 12665 15365 17731 19915 37315 48365 52241 65411 67711 84781 88655 249791 261205 327055 338555 423905 457877 593467 1111987 1248955 1441277 1748537 2289385 2967335 4246447 5559935 7206385 7783909 8742685 10088939 21232235 29725129 37218859 38919545 50444695 148625645 186094295 260532013 632720603 1302660065 3163603015 4429044221 22145221105