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225765674105 = 52912491246601
BaseRepresentation
bin1101001001000010101…
…1101100110001111001
3210120201222221112201112
43102100223230301321
512144332003032410
6251414301530105
722211453365256
oct3222053546171
9716658845645
10225765674105
1187823923544
1237908573935
131839c37a59a
14acda01a42d
155d1548d105
hex3490aecc79

225765674105 has 16 divisors (see below), whose sum is σ = 280485450000. Its totient is φ = 174244761600.

The previous prime is 225765674083. The next prime is 225765674159. The reversal of 225765674105 is 501476567522.

225765674105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3324214336 + 222441459769 = 57656^2 + 471637^2 .

It is not a de Polignac number, because 225765674105 - 26 = 225765674041 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442196 + ... + 804405.

It is an arithmetic number, because the mean of its divisors is an integer number (17530340625).

Almost surely, 2225765674105 is an apocalyptic number.

It is an amenable number.

225765674105 is a deficient number, since it is larger than the sum of its proper divisors (54719775895).

225765674105 is a wasteful number, since it uses less digits than its factorization.

225765674105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247884.

The product of its (nonzero) digits is 3528000, while the sum is 50.

The spelling of 225765674105 in words is "two hundred twenty-five billion, seven hundred sixty-five million, six hundred seventy-four thousand, one hundred five".

Divisors: 1 5 29 145 1249 6245 36221 181105 1246601 6233005 36151429 180757145 1557004649 7785023245 45153134821 225765674105