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20200332000 = 2535311314897
BaseRepresentation
bin10010110100000010…
…001001101011100000
31221010210111012002110
4102310002021223200
5312332241111000
613140243115320
71313403663132
oct226402115340
957123435073
1020200332000
118626619462
123ab9072b40
131b9c04a094
14d98b53052
157d363d850
hex4b4089ae0

20200332000 has 192 divisors, whose sum is σ = 66766400064. Its totient is φ = 5338726400.

The previous prime is 20200331939. The next prime is 20200332007. The reversal of 20200332000 is 23300202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200332007) 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 31 ways as a sum of consecutive naturals, for example, 1348552 + ... + 1363448.

It is an arithmetic number, because the mean of its divisors is an integer number (347741667).

Almost surely, 220200332000 is an apocalyptic number.

20200332000 is a gapful number since it is divisible by the number (20) 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 20200332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33383200032).

20200332000 is an abundant number, since it is smaller than the sum of its proper divisors (46566068064).

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

20200332000 is a wasteful number, since it uses less digits than its factorization.

20200332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038 (or 15020 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20200332000 its reverse (23300202), we get a palindrome (20223632202).

The spelling of 20200332000 in words is "twenty billion, two hundred million, three hundred thirty-two thousand".