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13222033000 = 2353112234751
BaseRepresentation
bin11000101000001100…
…00011011001101000
31021010110120212110221
430110012003121220
5204034320024000
610024002015424
7645440266111
oct142406033150
937113525427
1013222033000
115675547100
122690047574
1313293a1887
148d6045208
15525bae61a
hex314183668

13222033000 has 192 divisors, whose sum is σ = 35494018560. Its totient is φ = 4598000000.

The previous prime is 13222032973. The next prime is 13222033003. The reversal of 13222033000 is 33022231.

It is not an unprimeable number, because it can be changed into a prime (13222033003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2780625 + ... + 2785375.

It is an arithmetic number, because the mean of its divisors is an integer number (184864680).

Almost surely, 213222033000 is an apocalyptic number.

13222033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747009280).

13222033000 is an abundant number, since it is smaller than the sum of its proper divisors (22271985560).

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

13222033000 is a wasteful number, since it uses less digits than its factorization.

13222033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13222033000 its reverse (33022231), we get a palindrome (13255055231).

The spelling of 13222033000 in words is "thirteen billion, two hundred twenty-two million, thirty-three thousand".