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220011120200 = 2352171313071609
BaseRepresentation
bin1100110011100110101…
…1110100011001001000
3210000212221201220210102
43030321223310121020
512101040321321300
6245023253504532
721616036444214
oct3147153643110
9700787656712
10220011120200
11853405a5a73
1236781342148
13179930bb4c1
14a911a5d944
155aca18a0d5
hex3339af4648

220011120200 has 192 divisors, whose sum is σ = 547868059200. Its totient is φ = 81876787200.

The previous prime is 220011120193. The next prime is 220011120211. The reversal of 220011120200 is 2021110022.

It is a happy number.

220011120200 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 47 ways as a sum of consecutive naturals, for example, 136736996 + ... + 136738604.

It is an arithmetic number, because the mean of its divisors is an integer number (2853479475).

Almost surely, 2220011120200 is an apocalyptic number.

220011120200 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 220011120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273934029600).

220011120200 is an abundant number, since it is smaller than the sum of its proper divisors (327856939000).

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

220011120200 is a wasteful number, since it uses less digits than its factorization.

220011120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220011120200 its reverse (2021110022), we get a palindrome (222032230222).

The spelling of 220011120200 in words is "two hundred twenty billion, eleven million, one hundred twenty thousand, two hundred".