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34222122441 = 32131923669329
BaseRepresentation
bin11111110111110011…
…000010010111001001
310021022222221221112100
4133313303002113021
51030041330404231
623415454504013
72321025145503
oct376763022711
9107288857470
1034222122441
1113571550121
126770b05009
1332c50182c0
14192909cd73
15d546281e6
hex7f7cc25c9

34222122441 has 48 divisors (see below), whose sum is σ = 58472668800. Its totient is φ = 19083879936.

The previous prime is 34222122427. The next prime is 34222122443. The reversal of 34222122441 is 14422122243.

It is a happy number.

34222122441 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 212 + 2 + 441 = 666.

It is not a de Polignac number, because 34222122441 - 213 = 34222114249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34222122443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283536 + ... + 385793.

It is an arithmetic number, because the mean of its divisors is an integer number (1218180600).

Almost surely, 234222122441 is an apocalyptic number.

It is an amenable number.

34222122441 is a deficient number, since it is larger than the sum of its proper divisors (24250546359).

34222122441 is a wasteful number, since it uses less digits than its factorization.

34222122441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669390 (or 669387 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 34222122441 its reverse (14422122243), we get a palindrome (48644244684).

The spelling of 34222122441 in words is "thirty-four billion, two hundred twenty-two million, one hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 9 13 19 23 39 57 69 117 171 207 247 299 437 741 897 1311 2223 2691 3933 5681 17043 51129 669329 2007987 6023961 8701277 12717251 15394567 26103831 38151753 46183701 78311493 114455259 138551103 165324263 200129371 292496773 495972789 600388113 877490319 1487918367 1801164339 2632470957 3802458049 11407374147 34222122441