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2201322140 = 2251929533769
BaseRepresentation
bin1000001100110101…
…1000001010011100
312200102011202021122
42003031120022130
514002014302030
61002233550112
7105356633543
oct20315301234
95612152248
102201322140
11a2a6529a6
12515275338
132910a53a4
1416c50315a
15cd3cd8e5
hex8335829c

2201322140 has 96 divisors (see below), whose sum is σ = 5130216000. Its totient is φ = 790013952.

The previous prime is 2201322139. The next prime is 2201322143. The reversal of 2201322140 is 412231022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201322143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582176 + ... + 585944.

It is an arithmetic number, because the mean of its divisors is an integer number (53439750).

Almost surely, 22201322140 is an apocalyptic number.

2201322140 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 2201322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565108000).

2201322140 is an abundant number, since it is smaller than the sum of its proper divisors (2928893860).

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

2201322140 is a wasteful number, since it uses less digits than its factorization.

2201322140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2201322140 is about 46918.2495410901. The cubic root of 2201322140 is about 1300.8519346726.

Adding to 2201322140 its reverse (412231022), we get a palindrome (2613553162).

The spelling of 2201322140 in words is "two billion, two hundred one million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 53 58 76 95 106 116 145 190 212 265 290 380 530 551 580 1007 1060 1102 1537 2014 2204 2755 3074 3769 4028 5035 5510 6148 7538 7685 10070 11020 15076 15370 18845 20140 29203 30740 37690 58406 71611 75380 109301 116812 143222 146015 199757 218602 286444 292030 358055 399514 437204 546505 584060 716110 799028 998785 1093010 1432220 1997570 2076719 2186020 3795383 3995140 4153438 5792953 7590766 8306876 10383595 11585906 15181532 18976915 20767190 23171812 28964765 37953830 41534380 57929530 75907660 110066107 115859060 220132214 440264428 550330535 1100661070 2201322140