Search a number
-
+
20221122200000 = 2655920910979
BaseRepresentation
bin1001001100100000110001…
…10011100100000111000000
32122121010020202220010101212
410212100120303210013000
510122300324240400000
6111001242202145252
74154633154506621
oct446203063440700
978533222803355
1020221122200000
116496803355777
122326ba4ab2228
13b38ac76320b7
144dc9c96a1a48
15250ee7844c35
hex126418ce41c0

20221122200000 has 168 divisors, whose sum is σ = 50164666599600. Its totient is φ = 8086833920000.

The previous prime is 20221122199997. The next prime is 20221122200009. The reversal of 20221122200000 is 222112202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221122200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1841794511 + ... + 1841805489.

It is an arithmetic number, because the mean of its divisors is an integer number (298599205950).

Almost surely, 220221122200000 is an apocalyptic number.

20221122200000 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 20221122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25082333299800).

20221122200000 is an abundant number, since it is smaller than the sum of its proper divisors (29943544399600).

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

20221122200000 is an frugal number, since it uses more digits than its factorization.

20221122200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20225 (or 20195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20221122200000 its reverse (222112202), we get a palindrome (20221344312202).

The spelling of 20221122200000 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred thousand".