Search a number
-
+
225011607405 = 351329791992531
BaseRepresentation
bin1101000110001110111…
…1001010011101101101
3210111210110000222200020
43101203233022131231
512141310432414110
6251211403352353
722153666051134
oct3214357123555
9714713028606
10225011607405
1187477206022
1237737b226b9
13182ac08aa80
14ac67c0a91b
155cbe18ad70
hex3463bca76d

225011607405 has 128 divisors (see below), whose sum is σ = 408360960000. Its totient is φ = 105029084160.

The previous prime is 225011607391. The next prime is 225011607409. The reversal of 225011607405 is 504706110522.

It is not a de Polignac number, because 225011607405 - 24 = 225011607389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225011607409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88900990 + ... + 88903520.

It is an arithmetic number, because the mean of its divisors is an integer number (3190320000).

Almost surely, 2225011607405 is an apocalyptic number.

It is an amenable number.

225011607405 is a deficient number, since it is larger than the sum of its proper divisors (183349352595).

225011607405 is a wasteful number, since it uses less digits than its factorization.

225011607405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859.

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 225011607405 its reverse (504706110522), we get a palindrome (729717717927).

The spelling of 225011607405 in words is "two hundred twenty-five billion, eleven million, six hundred seven thousand, four hundred five".

Divisors: 1 3 5 13 15 29 39 65 79 87 145 195 199 237 377 395 435 597 995 1027 1131 1185 1885 2291 2531 2587 2985 3081 5135 5655 5771 6873 7593 7761 11455 12655 12935 15405 15721 17313 28855 29783 32903 34365 37965 38805 47163 73399 75023 78605 86565 89349 98709 148915 164515 199949 204373 220197 225069 235815 366995 375115 446745 455909 493545 503669 599847 613119 954187 999745 1021865 1100985 1125345 1367727 1511007 2279545 2518345 2599337 2862561 2999235 3065595 4770935 5798521 5926817 6547697 6838635 7555035 7798011 12996685 14312805 14606401 17395563 17780451 19643091 28992605 29634085 32738485 38990055 39789851 43819203 73032005 75380773 86977815 88902255 98215455 119369553 189883213 198949255 219096015 226142319 376903865 517268063 569649639 596847765 949416065 1130711595 1153905679 1551804189 2586340315 2848248195 3461717037 5769528395 7759020945 15000773827 17308585185 45002321481 75003869135 225011607405