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225242646445025 = 521141149829161731
BaseRepresentation
bin110011001101101101100011…
…111011011111101111100001
31002112111222122022022020201122
4303031231203323133233201
5214010333414442220100
62115015013203342025
765305146520010546
oct6315554373375741
91075458568266648
10225242646445025
1165850962944430
122131964a681915
13988b3a10907a1
143d89b33568bcd
151b09128aa9985
hexccdb63edfbe1

225242646445025 has 96 divisors (see below), whose sum is σ = 314599145616000. Its totient is φ = 158552328960000.

The previous prime is 225242646445013. The next prime is 225242646445039. The reversal of 225242646445025 is 520544646242522.

It is not a de Polignac number, because 225242646445025 - 24 = 225242646445009 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1392618410 + ... + 1392780140.

It is an arithmetic number, because the mean of its divisors is an integer number (3277074433500).

Almost surely, 2225242646445025 is an apocalyptic number.

225242646445025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225242646445025 is a deficient number, since it is larger than the sum of its proper divisors (89356499170975).

225242646445025 is a wasteful number, since it uses less digits than its factorization.

225242646445025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162771 (or 162766 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 53.

The spelling of 225242646445025 in words is "two hundred twenty-five trillion, two hundred forty-two billion, six hundred forty-six million, four hundred forty-five thousand, twenty-five".

Divisors: 1 5 11 25 41 55 149 205 275 451 745 829 1025 1639 2255 3725 4145 6109 8195 9119 11275 20725 30545 33989 40975 45595 67199 123521 152725 161731 169945 227975 335995 373879 617605 808655 849725 1358731 1679975 1779041 1869395 3088025 4043275 5064361 6630971 6793655 8895205 9346975 24097919 25321805 33154855 33968275 44476025 55707971 72940681 120489595 126609025 134074999 165774275 265077109 278539855 364703405 602447975 670374995 988014679 1325385545 1392699275 1474824989 1823517025 3351874975 4940073395 5497074959 6626927725 7374124945 10868161469 19977174851 24700366975 27485374795 36870624725 54340807345 60467824549 99885874255 137426873975 219748923361 271704036725 302339122745 499429371275 819064168891 1098744616805 1511695613725 4095320844455 5493723084025 9009705857801 20476604222275 45048529289005 225242646445025