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22442402104430 = 25711435091331657
BaseRepresentation
bin1010001101001010001110…
…11001111100010001101110
32221110110202120220210220212
411012211013121330101232
510420144014414320210
6115421521443342422
74504260434251460
oct506450731742156
987413676823825
1022442402104430
117172850a08930
1226255a3081a12
13c6a403ab0459
1457830a4c8130
1528dba2083805
hex14694767c46e

22442402104430 has 128 divisors (see below), whose sum is σ = 51636796738560. Its totient is φ = 6818930979840.

The previous prime is 22442402104417. The next prime is 22442402104457. The reversal of 22442402104430 is 3440120424422.

It is a super-2 number, since 2×224424021044302 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16187162 + ... + 17518818.

It is an arithmetic number, because the mean of its divisors is an integer number (403412474520).

Almost surely, 222442402104430 is an apocalyptic number.

22442402104430 is an abundant number, since it is smaller than the sum of its proper divisors (29194394634130).

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

22442402104430 is a wasteful number, since it uses less digits than its factorization.

22442402104430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332234.

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 22442402104430 its reverse (3440120424422), we get a palindrome (25882522528852).

The spelling of 22442402104430 in words is "twenty-two trillion, four hundred forty-two billion, four hundred two million, one hundred four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 43 55 70 77 86 110 154 215 301 385 430 473 509 602 770 946 1018 1505 2365 2545 3010 3311 3563 4730 5090 5599 6622 7126 11198 16555 17815 21887 27995 33110 35630 39193 43774 55990 78386 109435 153209 195965 218870 240757 306418 391930 481514 766045 1203785 1331657 1532090 1685299 2407570 2663314 3370598 6658285 8426495 9321599 13316570 14648227 16852990 18643198 29296454 46607995 57261251 73241135 93215990 102537589 114522502 146482270 205075178 286306255 400828757 512687945 572612510 629873761 677813413 801657514 1025375890 1259747522 1355626826 2004143785 3149368805 3389067065 4008287570 4409116327 4744693891 6298737610 6778134130 7455947543 8818232654 9489387782 14911895086 22045581635 23723469455 29145976759 37279737715 44091163270 47446938910 52191632801 58291953518 74559475430 104383265602 145729883795 204021837313 260958164005 291459767590 320605744349 408043674626 521916328010 641211488698 1020109186565 1603028721745 2040218373130 2244240210443 3206057443490 4488480420886 11221201052215 22442402104430