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225503682064560 = 24325437283710661
BaseRepresentation
bin110011010001100000101010…
…110111010111000010110000
31002120102221102022212122220100
4303101200222313113002300
5214024123020102031220
62115334543354512400
765333050314115314
oct6321405267270260
91076387368778810
10225503682064560
11659416357249a9
122136015aa35700
1398a9ba1568a63
143d9861787db44
151b10d0564bd90
hexcd182add70b0

225503682064560 has 120 divisors (see below), whose sum is σ = 774928544751504. Its totient is φ = 58735842762240.

The previous prime is 225503682064543. The next prime is 225503682064627. The reversal of 225503682064560 is 65460286305522.

225503682064560 is a `hidden beast` number, since 2 + 2 + 5 + 50 + 3 + 6 + 8 + 20 + 6 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 225503682064497 and 225503682064506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3641824371 + ... + 3641886290.

Almost surely, 2225503682064560 is an apocalyptic number.

225503682064560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225503682064560 is an abundant number, since it is smaller than the sum of its proper divisors (549424862686944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225503682064560 is a wasteful number, since it uses less digits than its factorization.

225503682064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7283710723 (or 7283710714 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 225503682064560 in words is "two hundred twenty-five trillion, five hundred three billion, six hundred eighty-two million, sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 7283710661 14567421322 21851131983 29134842644 36418553305 43702263966 58269685288 65553395949 72837106610 87404527932 109255659915 116539370576 131106791898 145674213220 174809055864 218511319830 262213583796 291348426440 313199558423 327766979745 349618111728 437022639660 524427167592 582696852880 626399116846 655533959490 874045279320 939598675269 1048854335184 1252798233692 1311067918980 1565997792115 1748090558640 1879197350538 2505596467384 2622135837960 2818796025807 3131995584230 3758394701076 4697993376345 5011192934768 5244271675920 5637592051614 6263991168460 7516789402152 9395986752690 11275184103228 12527982336920 14093980129035 15033578804304 18791973505380 22550368206456 25055964673840 28187960258070 37583947010760 45100736412912 56375920516140 75167894021520 112751841032280 225503682064560