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2112221000 = 235310320507
BaseRepresentation
bin111110111100101…
…1110111101001000
312110012111221111102
41331321132331020
513311212033000
6545332120532
7103225403501
oct17571367510
95405457442
102112221000
1199432599a
124ab466148
132787a9616
1416074bba8
15c567d3d5
hex7de5ef48

2112221000 has 64 divisors (see below), whose sum is σ = 4990826880. Its totient is φ = 836644800.

The previous prime is 2112220987. The next prime is 2112221011. The reversal of 2112221000 is 1222112.

It is a happy number.

It is a super-2 number, since 2×21122210002 = 8922955105682000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92747 + ... + 113253.

It is an arithmetic number, because the mean of its divisors is an integer number (77981670).

Almost surely, 22112221000 is an apocalyptic number.

2112221000 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 2112221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495413440).

2112221000 is an abundant number, since it is smaller than the sum of its proper divisors (2878605880).

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

2112221000 is a wasteful number, since it uses less digits than its factorization.

2112221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20631 (or 20617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2112221000 is about 45958.9055570300. The cubic root of 2112221000 is about 1283.0584820213.

Adding to 2112221000 its reverse (1222112), we get a palindrome (2113443112).

The spelling of 2112221000 in words is "two billion, one hundred twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 500 515 824 1000 1030 2060 2575 4120 5150 10300 12875 20507 20600 25750 41014 51500 82028 102535 103000 164056 205070 410140 512675 820280 1025350 2050700 2112221 2563375 4101400 4224442 5126750 8448884 10253500 10561105 16897768 20507000 21122210 42244420 52805525 84488840 105611050 211222100 264027625 422444200 528055250 1056110500 2112221000