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4205022471 = 331317704713
BaseRepresentation
bin1111101010100011…
…1000110100000111
3101212001111021102000
43322220320310013
532102441204341
61533132120343
7206130046506
oct37250706407
911761437360
104205022471
111868697691
129943060b3
13520246aa0
142bc68283d
151992728b6
hexfaa38d07

4205022471 has 32 divisors (see below), whose sum is σ = 7103517120. Its totient is φ = 2435484672.

The previous prime is 4205022467. The next prime is 4205022511. The reversal of 4205022471 is 1742205024.

It is not a de Polignac number, because 4205022471 - 22 = 4205022467 is a prime.

It is a super-3 number, since 3×42050224713 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346390 + ... + 358323.

It is an arithmetic number, because the mean of its divisors is an integer number (221984910).

Almost surely, 24205022471 is an apocalyptic number.

4205022471 is a deficient number, since it is larger than the sum of its proper divisors (2898494649).

4205022471 is a wasteful number, since it uses less digits than its factorization.

4205022471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704752 (or 704746 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4205022471 is about 64846.1446116884. The cubic root of 4205022471 is about 1614.0715167105.

Adding to 4205022471 its reverse (1742205024), we get a palindrome (5947227495).

The spelling of 4205022471 in words is "four billion, two hundred five million, twenty-two thousand, four hundred seventy-one".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1989 5967 704713 2114139 6342417 9161269 11980121 19027251 27483807 35940363 82451421 107821089 155741573 247354263 323463267 467224719 1401674157 4205022471