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13022233200 = 24325231711411
BaseRepresentation
bin11000010000010111…
…11000001001110000
31020121112121222200100
430020023320021300
5203132142430300
65552103352400
7640463104314
oct141013701160
936545558610
1013022233200
1155827905a9
122635152700
1312c6b87742
148b76b5b44
15513394700
hex3082f8270

13022233200 has 180 divisors, whose sum is σ = 45337296888. Its totient is φ = 3461337600.

The previous prime is 13022233199. The next prime is 13022233207. The reversal of 13022233200 is 233222031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022233207) 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 35 ways as a sum of consecutive naturals, for example, 1135495 + ... + 1146905.

Almost surely, 213022233200 is an apocalyptic number.

13022233200 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 13022233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22668648444).

13022233200 is an abundant number, since it is smaller than the sum of its proper divisors (32315063688).

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

13022233200 is a wasteful number, since it uses less digits than its factorization.

13022233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13022233200 its reverse (233222031), we get a palindrome (13255455231).

The spelling of 13022233200 in words is "thirteen billion, twenty-two million, two hundred thirty-three thousand, two hundred".