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220002212010 = 235719237411913
BaseRepresentation
bin1100110011100100100…
…1110101100010101010
3210000212022222100001110
43030321021311202222
512101031031241020
6245022334531150
721615600642630
oct3147111654252
9700768870043
10220002212010
1185336571129
123677a366ab6
13179912bc899
14a9107c1350
155ac94ca8e0
hex33392758aa

220002212010 has 384 divisors, whose sum is σ = 670381899264. Its totient is φ = 45197844480.

The previous prime is 220002211939. The next prime is 220002212083. The reversal of 220002212010 is 10212200022.

220002212010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115002814 + ... + 115004726.

It is an arithmetic number, because the mean of its divisors is an integer number (1745786196).

Almost surely, 2220002212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220002212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335190949632).

220002212010 is an abundant number, since it is smaller than the sum of its proper divisors (450379687254).

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

220002212010 is a wasteful number, since it uses less digits than its factorization.

220002212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220002212010 its reverse (10212200022), we get a palindrome (230214412032).

The spelling of 220002212010 in words is "two hundred twenty billion, two million, two hundred twelve thousand, ten".