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5435105225 = 5211431479
BaseRepresentation
bin1010000111111010…
…10001111111001001
3112000210002221201112
411003331101333021
542112341331400
62255153100105
7251454426554
oct50375217711
915023087645
105435105225
112339a80000
121078257635
13688041ac4
14397ba369b
1521c251835
hex143f51fc9

5435105225 has 60 divisors (see below), whose sum is σ = 7668556800. Its totient is φ = 3817308000.

The previous prime is 5435105197. The next prime is 5435105251. The reversal of 5435105225 is 5225015345.

5435105225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5435105225 - 210 = 5435104201 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5435105191 and 5435105200.

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 59 ways as a sum of consecutive naturals, for example, 11346536 + ... + 11347014.

It is an arithmetic number, because the mean of its divisors is an integer number (127809280).

Almost surely, 25435105225 is an apocalyptic number.

5435105225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5435105225 is a deficient number, since it is larger than the sum of its proper divisors (2233451575).

5435105225 is an equidigital number, since it uses as much as digits as its factorization.

5435105225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The square root of 5435105225 is about 73723.1661352115. The cubic root of 5435105225 is about 1758.2042230295.

The spelling of 5435105225 in words is "five billion, four hundred thirty-five million, one hundred five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 31 55 121 155 275 341 479 605 775 1331 1705 2395 3025 3751 5269 6655 8525 11975 14641 14849 18755 26345 33275 41261 57959 73205 74245 93775 131725 163339 206305 289795 366025 371225 453871 637549 816695 1031525 1448975 1796729 2269355 3187745 4083475 7013039 8983645 11346775 15938725 19764019 35065195 44918225 98820095 175325975 217404209 494100475 1087021045 5435105225