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211222000000 = 2756119601
BaseRepresentation
bin1100010010110111001…
…1111111000110000000
3202012012102110100111001
43010231303333012000
511430040313000000
6241011204301344
721155164243114
oct3045563770600
9665172410431
10211222000000
1181640348970
1234b299a1854
1316bc223466b
14a31a65d744
15576376646a
hex312dcff180

211222000000 has 224 divisors, whose sum is σ = 573862185720. Its totient is φ = 76800000000.

The previous prime is 211221999997. The next prime is 211222000001. The reversal of 211222000000 is 222112.

211222000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112220000002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222000001) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 21995200 + ... + 22004800.

Almost surely, 2211222000000 is an apocalyptic number.

211222000000 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 211222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286931092860).

211222000000 is an abundant number, since it is smaller than the sum of its proper divisors (362640185720).

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

211222000000 is an frugal number, since it uses more digits than its factorization.

211222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9619 counting only the distinct ones).

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

Adding to 211222000000 its reverse (222112), we get a palindrome (211222222112).

The spelling of 211222000000 in words is "two hundred eleven billion, two hundred twenty-two million", and thus it is an aban number.