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34201053220 = 22517467215399
BaseRepresentation
bin11111110110100010…
…101010100000100100
310021021112022111222211
4133312202222200210
51030020432200340
623413423133204
72320351104265
oct376642524044
9107245274884
1034201053220
111356066a544
126765a44204
1332c084c2c9
14192637696c
15d528655ea
hex7f68aa824

34201053220 has 48 divisors (see below), whose sum is σ = 76210243200. Its totient is φ = 12848059904.

The previous prime is 34201053167. The next prime is 34201053239. The reversal of 34201053220 is 2235010243.

It is a junction number, because it is equal to n+sod(n) for n = 34201053191 and 34201053200.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51081 + ... + 266479.

It is an arithmetic number, because the mean of its divisors is an integer number (1587713400).

Almost surely, 234201053220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34201053220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38105121600).

34201053220 is an abundant number, since it is smaller than the sum of its proper divisors (42009189980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34201053220 is a wasteful number, since it uses less digits than its factorization.

34201053220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215892 (or 215890 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 34201053220 its reverse (2235010243), we get a palindrome (36436063463).

The spelling of 34201053220 in words is "thirty-four billion, two hundred one million, fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 467 934 1868 2335 4670 7939 9340 15878 31756 39695 79390 158780 215399 430798 861596 1076995 2153990 3661783 4307980 7323566 14647132 18308915 36617830 73235660 100591333 201182666 402365332 502956665 1005913330 1710052661 2011826660 3420105322 6840210644 8550263305 17100526610 34201053220