Search a number
-
+
34222010119 = 1174312293407
BaseRepresentation
bin11111110111110010…
…100110111100000111
310021022222202020110021
4133313302212330013
51030041313310434
623415452240011
72321024200153
oct376762467407
9107288666407
1034222010119
11135714837a0
126770a70007
1332c4ca913b
141929070063
15d54604cb4
hex7f7ca6f07

34222010119 has 16 divisors (see below), whose sum is σ = 37424747520. Its totient is φ = 31034654560.

The previous prime is 34222010117. The next prime is 34222010149. The reversal of 34222010119 is 91101022243.

It is a cyclic number.

It is not a de Polignac number, because 34222010119 - 21 = 34222010117 is a prime.

It is a super-2 number, since 2×342220101192 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34222010093 and 34222010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34222010117) 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 15 ways as a sum of consecutive naturals, for example, 10042914 + ... + 10046320.

It is an arithmetic number, because the mean of its divisors is an integer number (2339046720).

Almost surely, 234222010119 is an apocalyptic number.

34222010119 is a deficient number, since it is larger than the sum of its proper divisors (3202737401).

34222010119 is a wasteful number, since it uses less digits than its factorization.

34222010119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 34222010119 in words is "thirty-four billion, two hundred twenty-two million, ten thousand, one hundred nineteen".

Divisors: 1 11 743 1229 3407 8173 13519 37477 913147 2531401 4187203 10044617 27845411 46059233 3111091829 34222010119