Search a number
-
+
34222020309 = 3231179685249
BaseRepresentation
bin11111110111110010…
…101001011011010101
310021022222202202102200
4133313302221123111
51030041314122214
623415452355113
72321024241651
oct376762513325
9107288682380
1034222020309
1113571490414
126770a75a99
1332c4cb0979
141929073a61
15d54607d09
hex7f7ca96d5

34222020309 has 24 divisors (see below), whose sum is σ = 51311520000. Its totient is φ = 21955345920.

The previous prime is 34222020307. The next prime is 34222020311. The reversal of 34222020309 is 90302022243.

34222020309 is a `hidden beast` number, since 3 + 422 + 202 + 0 + 30 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (34222020307) and next prime (34222020311).

It is not a de Polignac number, because 34222020309 - 21 = 34222020307 is a prime.

It is a super-2 number, since 2×342220203092 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222020307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292684 + ... + 392565.

It is an arithmetic number, because the mean of its divisors is an integer number (2137980000).

Almost surely, 234222020309 is an apocalyptic number.

It is an amenable number.

34222020309 is a deficient number, since it is larger than the sum of its proper divisors (17089499691).

34222020309 is a wasteful number, since it uses less digits than its factorization.

34222020309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685465 (or 685462 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 34222020309 in words is "thirty-four billion, two hundred twenty-two million, twenty thousand, three hundred nine".

Divisors: 1 3 9 31 93 179 279 537 1611 5549 16647 49941 685249 2055747 6167241 21242719 63728157 122659571 191184471 367978713 1103936139 3802446701 11407340103 34222020309