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2201322112 = 27111791967
BaseRepresentation
bin1000001100110101…
…1000001010000000
312200102011202020121
42003031120022000
514002014301422
61002233550024
7105356633503
oct20315301200
95612152217
102201322112
11a2a652980
12515275314
132910a5382
1416c50313a
15cd3cd8c7
hex83358280

2201322112 has 64 divisors (see below), whose sum is σ = 5065597440. Its totient is φ = 941731840.

The previous prime is 2201322107. The next prime is 2201322113. The reversal of 2201322112 is 2112231022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2201322113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22048 + ... + 69919.

It is an arithmetic number, because the mean of its divisors is an integer number (79149960).

Almost surely, 22201322112 is an apocalyptic number.

2201322112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2201322112 is an abundant number, since it is smaller than the sum of its proper divisors (2864275328).

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

2201322112 is a wasteful number, since it uses less digits than its factorization.

2201322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92009 (or 91997 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2201322112 is about 46918.2492426987. The cubic root of 2201322112 is about 1300.8519291572.

Adding to 2201322112 its reverse (2112231022), we get a palindrome (4313553134).

The spelling of 2201322112 in words is "two billion, two hundred one million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 23936 91967 183934 367868 735736 1011637 1471472 1563439 2023274 2942944 3126878 4046548 5885888 6253756 8093096 11771776 12507512 16186192 17197829 25015024 32372384 34395658 50030048 64744768 68791316 100060096 129489536 137582632 200120192 275165264 550330528 1100661056 2201322112