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22211200000 = 2105511631
BaseRepresentation
bin10100101011111001…
…000000010000000000
32010022221021212102001
4110223321000100000
5330442031400000
614111555033344
71414262041063
oct245371002000
963287255361
1022211200000
119468709340
12437a59b854
13212c82b0c2
141109c3a8da
1589ee4b46a
hex52be40400

22211200000 has 264 divisors, whose sum is σ = 60638493888. Its totient is φ = 8064000000.

The previous prime is 22211199931. The next prime is 22211200001. The reversal of 22211200000 is 211222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 22211200000.

It is not an unprimeable number, because it can be changed into a prime (22211200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35199685 + ... + 35200315.

Almost surely, 222211200000 is an apocalyptic number.

22211200000 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 22211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30319246944).

22211200000 is an abundant number, since it is smaller than the sum of its proper divisors (38427293888).

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

22211200000 is an frugal number, since it uses more digits than its factorization.

22211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22211200000 its reverse (211222), we get a palindrome (22211411222).

The spelling of 22211200000 in words is "twenty-two billion, two hundred eleven million, two hundred thousand".