Search a number
-
+
2022200200020 = 223571113293731379
BaseRepresentation
bin11101011011010100100…
…001100100101101010100
321011022122121102212020110
4131123110201210231110
5231112431222400040
64144552544203020
7266046002043210
oct35332441445524
97138577385213
102022200200020
1170a679326730
12287aba909470
13118900a106c0
146dc37065940
1537906ea4980
hex1d6d4864b54

2022200200020 has 768 divisors, whose sum is σ = 8077302374400. Its totient is φ = 364366356480.

The previous prime is 2022200200003. The next prime is 2022200200043. The reversal of 2022200200020 is 200020022202.

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

It is a junction number, because it is equal to n+sod(n) for n = 2022200199969 and 2022200200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 64428691 + ... + 64460069.

It is an arithmetic number, because the mean of its divisors is an integer number (10517320800).

Almost surely, 22022200200020 is an apocalyptic number.

2022200200020 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 2022200200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038651187200).

2022200200020 is an abundant number, since it is smaller than the sum of its proper divisors (6055102174380).

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

2022200200020 is a wasteful number, since it uses less digits than its factorization.

2022200200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31488 (or 31486 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2022200200020 its reverse (200020022202), we get a palindrome (2222220222222).

The spelling of 2022200200020 in words is "two trillion, twenty-two billion, two hundred million, two hundred thousand, twenty".