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222110220012200 = 235213971801489001
BaseRepresentation
bin110010100000001000010000…
…110000111100101010101000
31002010102112022010100011120022
4302200020100300330222220
5213103023212310342300
62104220005414020012
764532635210442102
oct6240102060745250
91063375263304508
10222110220012200
1164853462882743
1220ab2547347608
1396c1b99a76cc0
143cbc298c26572
151aa28e34a9285
hexca0210c3caa8

222110220012200 has 192 divisors, whose sum is σ = 562176239719920. Its totient is φ = 81119232000000.

The previous prime is 222110220012113. The next prime is 222110220012221. The reversal of 222110220012200 is 2210022011222.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 9382569357604 + 212727650654596 = 3063098^2 + 14585186^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 453967700 + ... + 454456700.

Almost surely, 2222110220012200 is an apocalyptic number.

222110220012200 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 222110220012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281088119859960).

222110220012200 is an abundant number, since it is smaller than the sum of its proper divisors (340066019707720).

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

222110220012200 is a wasteful number, since it uses less digits than its factorization.

222110220012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490928 (or 490919 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222110220012200 its reverse (2210022011222), we get a palindrome (224320242023422).

The spelling of 222110220012200 in words is "two hundred twenty-two trillion, one hundred ten billion, two hundred twenty million, twelve thousand, two hundred".