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22000120200 = 2332521031071109
BaseRepresentation
bin10100011111010011…
…110011000110001000
32002210020002220100200
4110133103303012020
5330024012321300
614035014532200
71406116636062
oct243723630610
962706086320
1022000120200
11936a548a23
12431b967060
1320c7b94906
1410c9bb2732
1588b654200
hex51f4f3188

22000120200 has 288 divisors, whose sum is σ = 75366158400. Its totient is φ = 5750254080.

The previous prime is 22000120193. The next prime is 22000120243. The reversal of 22000120200 is 202100022.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 19837246 + ... + 19838354.

It is an arithmetic number, because the mean of its divisors is an integer number (261688050).

Almost surely, 222000120200 is an apocalyptic number.

22000120200 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 22000120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37683079200).

22000120200 is an abundant number, since it is smaller than the sum of its proper divisors (53366038200).

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

22000120200 is a wasteful number, since it uses less digits than its factorization.

22000120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22000120200 its reverse (202100022), we get a palindrome (22202220222).

The spelling of 22000120200 in words is "twenty-two billion, one hundred twenty thousand, two hundred".