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222020102200 = 2352131493131831
BaseRepresentation
bin1100111011000101101…
…1011110100000111000
3210020001221222210000011
43032301123132200320
512114144121232300
6245554501151304
722016602505461
oct3166133364070
9706057883004
10222020102200
1186181617976
12370420bb534
1317c2338bc50
14aa627b5d68
155b96723eba
hex33b16de838

222020102200 has 192 divisors, whose sum is σ = 561729672000. Its totient is φ = 81121996800.

The previous prime is 222020102191. The next prime is 222020102207. The reversal of 222020102200 is 2201020222.

Adding to 222020102200 its reverse (2201020222), we get a palindrome (224221122422).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222020102207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121255285 + ... + 121257115.

It is an arithmetic number, because the mean of its divisors is an integer number (2925675375).

Almost surely, 2222020102200 is an apocalyptic number.

222020102200 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 222020102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280864836000).

222020102200 is an abundant number, since it is smaller than the sum of its proper divisors (339709569800).

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

222020102200 is a wasteful number, since it uses less digits than its factorization.

222020102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The spelling of 222020102200 in words is "two hundred twenty-two billion, twenty million, one hundred two thousand, two hundred".