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2211022112 = 251319127827
BaseRepresentation
bin1000001111001001…
…1000010100100000
312201002102120010212
42003302120110200
514012010201422
61003221513252
7105535243415
oct20362302440
95632376125
102211022112
11a35078702
12518572828
132930c0510
1416d90a10c
15ce1979e2
hex83c98520

2211022112 has 48 divisors (see below), whose sum is σ = 4712504832. Its totient is φ = 1015092480.

The previous prime is 2211022111. The next prime is 2211022123. The reversal of 2211022112 is 2112201122.

It is not an unprimeable number, because it can be changed into a prime (2211022111) 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 7 ways as a sum of consecutive naturals, for example, 65543 + ... + 93369.

It is an arithmetic number, because the mean of its divisors is an integer number (98177184).

Almost surely, 22211022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356252416).

2211022112 is an abundant number, since it is smaller than the sum of its proper divisors (2501482720).

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

2211022112 is a wasteful number, since it uses less digits than its factorization.

2211022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28041 (or 28033 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2211022112 is about 47021.5069090730. The cubic root of 2211022112 is about 1302.7598394075.

Adding to 2211022112 its reverse (2112201122), we get a palindrome (4323223234).

The spelling of 2211022112 in words is "two billion, two hundred eleven million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 191 208 382 416 764 1528 2483 3056 4966 6112 9932 19864 27827 39728 55654 79456 111308 222616 361751 445232 723502 890464 1447004 2894008 5314957 5788016 10629914 11576032 21259828 42519656 69094441 85039312 138188882 170078624 276377764 552755528 1105511056 2211022112