Search a number
-
+
2201021222220 = 2232537211937487
BaseRepresentation
bin100000000001110111000…
…101101000110101001100
321210102012221201222222200
4200001313011220311030
5242030142413102340
64403045111241500
7315006233462232
oct40016705506514
97712187658880
102201021222220
117794a2110397
122b66a5679290
1312c72b311242
147875c444952
153c3c0e26330
hex20077168d4c

2201021222220 has 216 divisors, whose sum is σ = 6868420925184. Its totient is φ = 570520876032.

The previous prime is 2201021222219. The next prime is 2201021222221. The reversal of 2201021222220 is 222221201022.

2201021222220 is a `hidden beast` number, since 2 + 201 + 0 + 21 + 222 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (2201021222219) and next prime (2201021222221).

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 = 2201021222193 and 2201021222202.

It is not an unprimeable number, because it can be changed into a prime (2201021222221) 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 71 ways as a sum of consecutive naturals, for example, 293975317 + ... + 293982803.

It is an arithmetic number, because the mean of its divisors is an integer number (31798245024).

Almost surely, 22201021222220 is an apocalyptic number.

2201021222220 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 2201021222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434210462592).

2201021222220 is an abundant number, since it is smaller than the sum of its proper divisors (4667399702964).

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

2201021222220 is a wasteful number, since it uses less digits than its factorization.

2201021222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8769 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2201021222220 its reverse (222221201022), we get a palindrome (2423242423242).

The spelling of 2201021222220 in words is "two trillion, two hundred one billion, twenty-one million, two hundred twenty-two thousand, two hundred twenty".