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22922540487001 = 2324324721032
BaseRepresentation
bin1010011011001000100011…
…11000100001000101011001
310000011101002020222211010001
411031210101320201011121
511001030330331041001
6120430245243253001
74554045631210021
oct515442170410531
9100141066884101
1022922540487001
117338438574171
1226a266051a161
13ca378111567c
14593657968a81
1529b404183001
hex14d911e21159

22922540487001 has 81 divisors (see below), whose sum is σ = 25311530676789. Its totient is φ = 20756845316592.

The previous prime is 22922540486999. The next prime is 22922540487029. The reversal of 22922540487001 is 10078404522922.

The square root of 22922540487001 is 4787749.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 22922540487001 - 21 = 22922540486999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22922540487031) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 222548936716 + ... + 222548936818.

Almost surely, 222922540487001 is an apocalyptic number.

22922540487001 is the 4787749-th square number.

22922540487001 is the 2393875-th centered octagonal number.

It is an amenable number.

22922540487001 is a deficient number, since it is larger than the sum of its proper divisors (2388990189788).

22922540487001 is an frugal number, since it uses more digits than its factorization.

22922540487001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 22922540487001 in words is "twenty-two trillion, nine hundred twenty-two billion, five hundred forty million, four hundred eighty-seven thousand, one".

Divisors: 1 23 43 47 103 529 989 1081 1849 2021 2209 2369 4429 4841 10609 22747 24863 42527 46483 50807 54487 86903 94987 101867 111343 190447 208163 227527 244007 456187 498623 978121 1069109 1168561 1998769 2184701 2342941 2560889 4084441 4380281 4787749 5233121 5612161 8951009 9783661 10492301 11468329 19616041 21440789 23435281 45971687 50248123 93942143 100746463 110118227 120361783 205873207 225024203 241322923 263771567 420697423 451168943 493138147 539011463 921953927 1007717083 2160669289 4735083761 5175556669 9676040729 10376885689 11342177381 12397263649 21204940321 23177492909 43331834569 222548936767 487713627383 533082336907 996632195087 22922540487001