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34223022420200 = 2352891922641709
BaseRepresentation
bin1111100100000001010110…
…00110000011000011101000
311111011200121021102021020022
413302000223012003003220
513441202222214421300
6200441501153420012
710131350253605045
oct762005306030350
9144150537367208
1034223022420200
11a9a49a1a66979
123a08798b6a608
1316132a9165ba3
148645902541cc
153e5345496285
hex1f202b1830e8

34223022420200 has 48 divisors (see below), whose sum is σ = 80462555563500. Its totient is φ = 13535397624320.

The previous prime is 34223022420173. The next prime is 34223022420203. The reversal of 34223022420200 is 202422032243.

It can be written as a sum of positive squares in 6 ways, for example, as 10332765949444 + 23890256470756 = 3214462^2 + 4887766^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34223022420200.

It is not an unprimeable number, because it can be changed into a prime (34223022420203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961303055 + ... + 961338654.

Almost surely, 234223022420200 is an apocalyptic number.

It is an amenable number.

34223022420200 is an abundant number, since it is smaller than the sum of its proper divisors (46239533143300).

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

34223022420200 is a wasteful number, since it uses less digits than its factorization.

34223022420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922641814 (or 1922641805 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 34223022420200 its reverse (202422032243), we get a palindrome (34425444452443).

The spelling of 34223022420200 in words is "thirty-four trillion, two hundred twenty-three billion, twenty-two million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 1922641709 3845283418 7690566836 9613208545 15381133672 19226417090 38452834180 48066042725 76905668360 96132085450 171115112101 192264170900 342230224202 384528341800 684460448404 855575560505 1368920896808 1711151121010 3422302242020 4277877802525 6844604484040 8555755605050 17111511210100 34223022420200