Search a number
-
+
20443232000 = 28534383179
BaseRepresentation
bin10011000010100000…
…101111011100000000
31221202201112210020202
4103002200233130000
5313331431411000
613220321224332
71322413414322
oct230240573400
957681483222
1020443232000
118740742864
123b664920a8
131c0a474ba9
14dbd101612
157e9b1ddd5
hex4c282f700

20443232000 has 288 divisors, whose sum is σ = 53033460480. Its totient is φ = 7846809600.

The previous prime is 20443231999. The next prime is 20443232009. The reversal of 20443232000 is 23234402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20443232009) 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, 114207911 + ... + 114208089.

It is an arithmetic number, because the mean of its divisors is an integer number (184143960).

Almost surely, 220443232000 is an apocalyptic number.

20443232000 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 20443232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516730240).

20443232000 is an abundant number, since it is smaller than the sum of its proper divisors (32590228480).

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

20443232000 is an equidigital number, since it uses as much as digits as its factorization.

20443232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 20443232000 its reverse (23234402), we get a palindrome (20466466402).

The spelling of 20443232000 in words is "twenty billion, four hundred forty-three million, two hundred thirty-two thousand".