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225060010054200 = 233252125033338919
BaseRepresentation
bin110011001011000011011101…
…111100111101001000111000
31002111212112020001201022011100
4303023003131330331020320
5213444340400033213300
62114355050303531400
765256022566213036
oct6313033574751070
91074775201638140
10225060010054200
1165790461411862
12212aa179bb9b60
1398770b61a4489
143d80d69577556
151b044d9bd3700
hexccb0ddf3d238

225060010054200 has 72 divisors (see below), whose sum is σ = 755826533771400. Its totient is φ = 60016002680640.

The previous prime is 225060010054183. The next prime is 225060010054211. The reversal of 225060010054200 is 2450010060522.

225060010054200 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 600 + 1 + 0 + 0 + 54 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 62516667660 + ... + 62516671259.

It is an arithmetic number, because the mean of its divisors is an integer number (10497590746825).

Almost surely, 2225060010054200 is an apocalyptic number.

225060010054200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225060010054200 is an abundant number, since it is smaller than the sum of its proper divisors (530766523717200).

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

225060010054200 is a wasteful number, since it uses less digits than its factorization.

225060010054200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125033338941 (or 125033338929 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 225060010054200 in words is "two hundred twenty-five trillion, sixty billion, ten million, fifty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 125033338919 250066677838 375100016757 500133355676 625166694595 750200033514 1000266711352 1125300050271 1250333389190 1500400067028 1875500083785 2250600100542 2500666778380 3000800134056 3125833472975 3751000167570 4501200201084 5001333556760 5626500251355 6251666945950 7502000335140 9002400402168 9377500418925 11253000502710 12503333891900 15004000670280 18755000837850 22506001005420 25006667783800 28132501256775 37510001675700 45012002010840 56265002513550 75020003351400 112530005027100 225060010054200