Search a number
-
+
200221011221220 = 223251143113199104579
BaseRepresentation
bin101101100001100110010110…
…010000000001101011100100
3222020220221102112020101001100
4231201212112100001223210
5202220410112333034340
61545500132431000100
760113330210563323
oct5541462620015344
9866827375211040
10200221011221220
11588842880a0a90
121a55820b669030
1387949b6621522
143762a6a41a0ba
15182331be2a830
hexb61996401ae4

200221011221220 has 576 divisors, whose sum is σ = 687400826112000. Its totient is φ = 46753494036480.

The previous prime is 200221011221207. The next prime is 200221011221221. The reversal of 200221011221220 is 22122110122002.

It is a happy number.

200221011221220 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 210 + 11 + 221 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200221011221193 and 200221011221202.

It is not an unprimeable number, because it can be changed into a prime (200221011221221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1914490891 + ... + 1914595469.

It is an arithmetic number, because the mean of its divisors is an integer number (1193404212000).

Almost surely, 2200221011221220 is an apocalyptic number.

200221011221220 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 200221011221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343700413056000).

200221011221220 is an abundant number, since it is smaller than the sum of its proper divisors (487179814890780).

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

200221011221220 is a wasteful number, since it uses less digits than its factorization.

200221011221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104960 (or 104955 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200221011221220 its reverse (22122110122002), we get a palindrome (222343121343222).

The spelling of 200221011221220 in words is "two hundred trillion, two hundred twenty-one billion, eleven million, two hundred twenty-one thousand, two hundred twenty".