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216226155531441 = 31121982940279391
BaseRepresentation
bin110001001010100000010011…
…001100010000110010110001
31001100121000111112221012202010
4301022200103030100302301
5211320122131304001231
62043512531411313133
763354552463541106
oct6112402314206261
91040530445835663
10216226155531441
1162994aa787a900
12203020b1bab7a9
139386067824583
143b5758a642aad
1519ee812766546
hexc4a813310cb1

216226155531441 has 96 divisors (see below), whose sum is σ = 334092915251200. Its totient is φ = 123955238563200.

The previous prime is 216226155531433. The next prime is 216226155531473. The reversal of 216226155531441 is 144135551622612.

It is not a de Polignac number, because 216226155531441 - 23 = 216226155531433 is a prime.

It is a super-2 number, since 2×2162261555314412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216226155536441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23024822856 + ... + 23024832246.

Almost surely, 2216226155531441 is an apocalyptic number.

It is an amenable number.

216226155531441 is a deficient number, since it is larger than the sum of its proper divisors (117866759719759).

216226155531441 is a wasteful number, since it uses less digits than its factorization.

216226155531441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14291 (or 14280 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 48.

The spelling of 216226155531441 in words is "two hundred sixteen trillion, two hundred twenty-six billion, one hundred fifty-five million, five hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 11 19 33 57 121 209 363 627 829 2299 2487 4027 6897 9119 9391 12081 15751 27357 28173 44297 47253 76513 100309 103301 132891 173261 178429 229539 300927 309903 487267 519783 535287 841643 1136311 1461801 1905871 1962719 2524929 3338383 3408933 5717613 5888157 7785139 9258073 10015149 21589909 23355417 27774219 36722213 37817557 63429277 64769727 85636529 110166639 113452671 147917641 190287831 256909587 403944343 415993127 443752923 697722047 718533583 942001819 1211833029 1247979381 1627094051 2093166141 2155600749 2826005457 4575924397 4881282153 7674942517 7903869413 13727773191 17898034561 23024827551 23711608239 31350754753 53694103683 86942563543 94052264259 260827690629 344858302283 595664340307 1034574906849 1786993020921 3793441325113 6552307743377 11380323975339 19656923230131 72075385177147 216226155531441