Search a number
-
+
20221341140 = 225711132114787
BaseRepresentation
bin10010110101010010…
…010010110111010100
31221012021000120012202
4102311102102313110
5312403130404030
613142313304032
71314050364230
oct226522226724
957167016182
1020221341140
118637468990
123b04105018
131ba34c4920
14d9b8615c0
157d53dd745
hex4b5492dd4

20221341140 has 192 divisors, whose sum is σ = 57297881088. Its totient is φ = 5789145600.

The previous prime is 20221341139. The next prime is 20221341149. The reversal of 20221341140 is 4114312202.

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 (20221341149) 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 63 ways as a sum of consecutive naturals, for example, 4221827 + ... + 4226613.

It is an arithmetic number, because the mean of its divisors is an integer number (298426464).

Almost surely, 220221341140 is an apocalyptic number.

20221341140 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 20221341140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28648940544).

20221341140 is an abundant number, since it is smaller than the sum of its proper divisors (37076539948).

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

20221341140 is a wasteful number, since it uses less digits than its factorization.

20221341140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20221341140 its reverse (4114312202), we get a palindrome (24335653342).

The spelling of 20221341140 in words is "twenty billion, two hundred twenty-one million, three hundred forty-one thousand, one hundred forty".