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220201112200 = 2352172329891091
BaseRepresentation
bin1100110100010100000…
…0100101001010001000
3210001101012020111211011
43031011000211022020
512101432441042300
6245054202013304
721623534366566
oct3150500451210
9701335214734
10220201112200
1185428872853
1236814aa7234
13179c35803c4
14a92cd98a36
155adbbb8eba
hex3345025288

220201112200 has 384 divisors, whose sum is σ = 592274592000. Its totient is φ = 75631001600.

The previous prime is 220201112191. The next prime is 220201112221. The reversal of 220201112200 is 2211102022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201833655 + ... + 201834745.

It is an arithmetic number, because the mean of its divisors is an integer number (1542381750).

Almost surely, 2220201112200 is an apocalyptic number.

220201112200 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 220201112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296137296000).

220201112200 is an abundant number, since it is smaller than the sum of its proper divisors (372073479800).

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

220201112200 is a wasteful number, since it uses less digits than its factorization.

220201112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220201112200 its reverse (2211102022), we get a palindrome (222412214222).

The spelling of 220201112200 in words is "two hundred twenty billion, two hundred one million, one hundred twelve thousand, two hundred".