Search a number
-
+
225603562554450 = 232523116172298391
BaseRepresentation
bin110011010010111101101100…
…001101001100010001010010
31002120210111020011122021002200
4303102331230031030101102
5214032242044003220300
62115452502412224030
765343214410222663
oct6322755415142122
91076714204567080
10225603562554450
116597aa2a653313
122137759476b016
1398b642b393552
143d9d3b0ab136a
151b136ee12b200
hexcd2f6c34c452

225603562554450 has 72 divisors (see below), whose sum is σ = 625673880189696. Its totient is φ = 58220274204000.

The previous prime is 225603562554421. The next prime is 225603562554499. The reversal of 225603562554450 is 54455265306522.

225603562554450 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 0 + 3 + 5 + 625 + 5 + 4 + 4 + 5 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8086135246 + ... + 8086163145.

Almost surely, 2225603562554450 is an apocalyptic number.

225603562554450 is an abundant number, since it is smaller than the sum of its proper divisors (400070317635246).

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

225603562554450 is a wasteful number, since it uses less digits than its factorization.

225603562554450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16172298440 (or 16172298432 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 54.

The spelling of 225603562554450 in words is "two hundred twenty-five trillion, six hundred three billion, five hundred sixty-two million, five hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 4650 6975 13950 16172298391 32344596782 48516895173 80861491955 97033790346 145550685519 161722983910 242584475865 291101371038 404307459775 485168951730 501341250121 727753427595 808614919550 1002682500242 1212922379325 1455506855190 1504023750363 2425844758650 2506706250605 3008047500726 3638767137975 4512071251089 5013412501210 7277534275950 7520118751815 9024142502178 12533531253025 15040237503630 22560356255445 25067062506050 37600593759075 45120712510890 75201187518150 112801781277225 225603562554450