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225724370565 = 352921091391181
BaseRepresentation
bin1101001000111000111…
…0001000111010000101
3210120122010020002220210
43102032032020322011
512144240414324230
6251410224350033
722210442330631
oct3221616107205
9716563202823
10225724370565
1187802582591
12378b6775319
1318393948615
14acd4747dc1
155d11a2eeb0
hex348e388e85

225724370565 has 96 divisors (see below), whose sum is σ = 380511331200. Its totient is φ = 114243333120.

The previous prime is 225724370563. The next prime is 225724370603. The reversal of 225724370565 is 565073427522.

It is not a de Polignac number, because 225724370565 - 21 = 225724370563 is a prime.

It is a super-3 number, since 3×2257243705653 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225724370561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191129275 + ... + 191130455.

It is an arithmetic number, because the mean of its divisors is an integer number (3963659700).

Almost surely, 2225724370565 is an apocalyptic number.

It is an amenable number.

225724370565 is a deficient number, since it is larger than the sum of its proper divisors (154786960635).

225724370565 is a wasteful number, since it uses less digits than its factorization.

225724370565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 48.

The spelling of 225724370565 in words is "two hundred twenty-five billion, seven hundred twenty-four million, three hundred seventy thousand, five hundred sixty-five".

Divisors: 1 3 5 15 29 87 109 139 145 327 417 435 545 695 841 1181 1635 2085 2523 3161 3543 4031 4205 5905 9483 12093 12615 15151 15805 17715 20155 34249 45453 47415 60465 75755 91669 102747 116899 128729 164159 171245 227265 275007 350697 386187 439379 458345 492477 513735 584495 643645 820795 993221 1318137 1375035 1753485 1930935 2196895 2462385 2979663 3733141 4760611 4966105 6590685 11199423 12741991 14281833 14898315 17893331 18665705 23803055 38225973 53679993 55997115 63709955 71409165 89466655 108261089 138057719 191129865 268399965 324783267 414173157 518906599 541305445 690288595 1556719797 1623916335 2070865785 2594532995 7783598985 15048291371 45144874113 75241456855 225724370565