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255090654225 = 325211230612
BaseRepresentation
bin1110110110010010010…
…1100111110000010001
3220101102201001212220100
43231210211213300101
513134411201413400
6313104222003013
724300245533161
oct3554445476021
9811381055810
10255090654225
119920202a100
1241531416469
131b09393b424
14c4bc9505a1
15697ebcb100
hex3b64967c11

255090654225 has 81 divisors (see below), whose sum is σ = 502371796017. Its totient is φ = 123639912000.

The previous prime is 255090654197. The next prime is 255090654227. The reversal of 255090654225 is 522456090552.

The square root of 255090654225 is 505065.

It is a perfect power (a square), and thus also a powerful number.

255090654225 is a `hidden beast` number, since 2 + 550 + 90 + 6 + 5 + 4 + 2 + 2 + 5 = 666.

255090654225 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 4 ways, for example, as 43593681681 + 211496972544 = 208791^2 + 459888^2 .

It is not a de Polignac number, because 255090654225 - 213 = 255090646033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (255090654227) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 83334195 + ... + 83337255.

Almost surely, 2255090654225 is an apocalyptic number.

255090654225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

255090654225 is the 505065-th square number.

255090654225 is the 252533-rd centered octagonal number.

It is an amenable number.

255090654225 is a deficient number, since it is larger than the sum of its proper divisors (247281141792).

255090654225 is an equidigital number, since it uses as much as digits as its factorization.

255090654225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 255090654225 in words is "two hundred fifty-five billion, ninety million, six hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 3061 5445 9075 9183 15305 27225 27549 33671 45915 76525 101013 137745 168355 229575 303039 370381 505065 688725 841775 1111143 1515195 1851905 2525325 3333429 5555715 7575975 9259525 9369721 16667145 27778575 28109163 46848605 83335725 84327489 103066931 140545815 234243025 309200793 421637445 515334655 702729075 927602379 1133736241 1546003965 2108187225 2576673275 3401208723 4638011895 5668681205 7730019825 10203626169 17006043615 23190059475 28343406025 51018130845 85030218075 255090654225