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22252366520241 = 3111374369812003
BaseRepresentation
bin1010000111101000010000…
…11001101101111110110001
32220210022020200102220012220
411003310020121231332301
510404040321312121431
6115154332425311253
74454452246402434
oct503641031557661
986708220386186
1022252366520241
1170aa1a2867820
1225b47a8635529
13c55509c9cb10
1456d03d94581b
15288c7d7ddb96
hex143d0866dfb1

22252366520241 has 32 divisors (see below), whose sum is σ = 34903768015872. Its totient is φ = 12432121316160.

The previous prime is 22252366520201. The next prime is 22252366520249. The reversal of 22252366520241 is 14202566325222.

It is not a de Polignac number, because 22252366520241 - 225 = 22252332965809 is a prime.

It is a super-2 number, since 2×222523665202412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22252366520193 and 22252366520202.

It is not an unprimeable number, because it can be changed into a prime (22252366520249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34587255 + ... + 35224748.

It is an arithmetic number, because the mean of its divisors is an integer number (1090742750496).

Almost surely, 222252366520241 is an apocalyptic number.

It is an amenable number.

22252366520241 is a deficient number, since it is larger than the sum of its proper divisors (12651401495631).

22252366520241 is a wasteful number, since it uses less digits than its factorization.

22252366520241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69812773.

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 22252366520241 in words is "twenty-two trillion, two hundred fifty-two billion, three hundred sixty-six million, five hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 11 13 33 39 143 429 743 2229 8173 9659 24519 28977 106249 318747 69812003 209436009 767932033 907556039 2303796099 2722668117 9983116429 29949349287 51870318229 155610954687 570573500519 674314136977 1711720501557 2022942410931 7417455506747 22252366520241