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225514205131455 = 325475916710821689
BaseRepresentation
bin110011010001101010011110…
…000101101011001010111111
31002120110221120200212211220200
4303101222132011223022333
5214024311043003201310
62115343443504414543
765333602142525532
oct6321523605531277
91076427520784820
10225514205131455
11659460457208a9
12213621b7017453
1398aab8a726666
143d98d35280a19
151b1121e3cc9c0
hexcd1a9e16b2bf

225514205131455 has 96 divisors (see below), whose sum is σ = 408405386188800. Its totient is φ = 115027098118656.

The previous prime is 225514205131429. The next prime is 225514205131577. The reversal of 225514205131455 is 554131502415522.

225514205131455 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 142 + 0 + 51 + 3 + 1 + 455 = 666.

It is not a de Polignac number, because 225514205131455 - 214 = 225514205115071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 225514205131455.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15428251 + ... + 26249939.

It is an arithmetic number, because the mean of its divisors is an integer number (4254222772800).

Almost surely, 2225514205131455 is an apocalyptic number.

225514205131455 is a deficient number, since it is larger than the sum of its proper divisors (182891181057345).

225514205131455 is a wasteful number, since it uses less digits than its factorization.

225514205131455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821973 (or 10821970 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

Adding to 225514205131455 its reverse (554131502415522), we get a palindrome (779645707546977).

The spelling of 225514205131455 in words is "two hundred twenty-five trillion, five hundred fourteen billion, two hundred five million, one hundred thirty-one thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 45 47 59 141 167 177 235 295 423 501 531 705 835 885 1503 2115 2505 2655 2773 7515 7849 8319 9853 13865 23547 24957 29559 39245 41595 49265 70641 88677 117735 124785 147795 353205 443385 463091 1389273 2315455 4167819 6946365 10821689 20839095 32465067 54108445 97395201 162325335 486976005 508619383 638479651 1525858149 1807222063 1915438953 2543096915 3192398255 4577574447 5421666189 5746316859 7629290745 9036110315 9577194765 16264998567 22887872235 27108330945 28731584295 30008543597 81324992835 84939436961 90025630791 106626101717 150042717985 254818310883 270076892373 319878305151 424697184805 450128153955 533130508585 764454932649 959634915453 1274091554415 1350384461865 1599391525755 3822274663245 4798174577265 5011426780699 15034280342097 25057133903495 45102841026291 75171401710485 225514205131455