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20233203200 = 29527241937
BaseRepresentation
bin10010110101111111…
…100010111000000000
31221020002100012220022
4102311333202320000
5312414200000300
613143415433012
71314253250420
oct226577427000
957202305808
1020233203200
118643130041
123b08085768
131ba5ab8bb2
14d9d26c480
157d6483285
hex4b5fe2e00

20233203200 has 240 divisors, whose sum is σ = 57589793184. Its totient is φ = 6900940800.

The previous prime is 20233203181. The next prime is 20233203209. The reversal of 20233203200 is 230233202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233203209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21593132 + ... + 21594068.

Almost surely, 220233203200 is an apocalyptic number.

20233203200 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 20233203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28794896592).

20233203200 is an abundant number, since it is smaller than the sum of its proper divisors (37356589984).

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

20233203200 is an equidigital number, since it uses as much as digits as its factorization.

20233203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 20233203200 its reverse (230233202), we get a palindrome (20463436402).

The spelling of 20233203200 in words is "twenty billion, two hundred thirty-three million, two hundred three thousand, two hundred".