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22517703481 = 72132172972
BaseRepresentation
bin10100111110001010…
…001110001100111001
32011010022000212010211
4110332022032030321
5332104013002411
614202224311121
71425003215200
oct247612161471
964108025124
1022517703481
1196057249a9
1244451724a1
13217b195100
141138824237
158bbce2221
hex53e28e339

22517703481 has 81 divisors (see below), whose sum is σ = 30444427719. Its totient is φ = 16595324928.

The previous prime is 22517703479. The next prime is 22517703487. The reversal of 22517703481 is 18430771522.

The square root of 22517703481 is 150059.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14504589225 + 8013114256 = 120435^2 + 89516^2 .

It is not a de Polignac number, because 22517703481 - 21 = 22517703479 is a prime.

It is a super-2 number, since 2×225177034812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22517703487) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 232141225 + ... + 232141321.

Almost surely, 222517703481 is an apocalyptic number.

22517703481 is the 150059-th square number.

22517703481 is the 75030-th centered octagonal number.

It is an amenable number.

22517703481 is a deficient number, since it is larger than the sum of its proper divisors (7926724238).

22517703481 is an equidigital number, since it uses as much as digits as its factorization.

22517703481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 22517703481 in words is "twenty-two billion, five hundred seventeen million, seven hundred three thousand, four hundred eighty-one".

Divisors: 1 7 13 17 49 91 97 119 169 221 289 637 679 833 1183 1261 1547 1649 2023 2873 3757 4753 8281 8827 9409 10829 11543 14161 16393 20111 21437 26299 28033 48841 61789 65863 80801 114751 122317 140777 150059 159953 184093 196231 278681 341887 364429 461041 803257 856219 1050413 1119671 1373617 1590121 1950767 2079389 2393209 2551003 2719201 4737577 5993533 7837697 11130847 13655369 14555723 17857021 19034407 27032057 33163039 35349613 77915929 101890061 133240849 189224399 232141273 247447291 459544969 1324570793 1732131037 3216814783 22517703481