Search a number
-
+
32224208085 = 3256531096621
BaseRepresentation
bin11110000000101101…
…100110010011010101
310002011202112101021100
4132000231212103111
51011443344124320
622445324340313
72220355151346
oct360055462325
9102152471240
1032224208085
11127367a8533
1262b39a4699
133067121364
1417b99c80cd
15c89028790
hex780b664d5

32224208085 has 24 divisors (see below), whose sum is σ = 55940881464. Its totient is φ = 17159909760.

The previous prime is 32224208077. The next prime is 32224208089. The reversal of 32224208085 is 58080242223.

32224208085 is a `hidden beast` number, since 3 + 222 + 420 + 8 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4702393476 + 27521814609 = 68574^2 + 165897^2 .

It is not a de Polignac number, because 32224208085 - 23 = 32224208077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32224208089) 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 23 ways as a sum of consecutive naturals, for example, 518926 + ... + 577695.

It is an arithmetic number, because the mean of its divisors is an integer number (2330870061).

Almost surely, 232224208085 is an apocalyptic number.

It is an amenable number.

32224208085 is a deficient number, since it is larger than the sum of its proper divisors (23716673379).

32224208085 is a wasteful number, since it uses less digits than its factorization.

32224208085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097285 (or 1097282 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 32224208085 in words is "thirty-two billion, two hundred twenty-four million, two hundred eight thousand, eighty-five".

Divisors: 1 3 5 9 15 45 653 1959 3265 5877 9795 29385 1096621 3289863 5483105 9869589 16449315 49347945 716093513 2148280539 3580467565 6444841617 10741402695 32224208085