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2199120209022 = 231131391981093
BaseRepresentation
bin100000000000000101110…
…001110110010001111110
321210020022110122112010110
4200000011301312101332
5242012244233142042
64402132322050450
7314611151232552
oct40000561662176
97706273575113
102199120209022
11778707033000
122b6254aa9a26
1312c4b7514469
147861bb95862
153c30e0b809c
hex20005c7647e

2199120209022 has 64 divisors (see below), whose sum is σ = 4872540314880. Its totient is φ = 661605484320.

The previous prime is 2199120209021. The next prime is 2199120209071. The reversal of 2199120209022 is 2209020219912.

It is a super-2 number, since 2×21991202090222 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199120209021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119508 + ... + 2100600.

It is an arithmetic number, because the mean of its divisors is an integer number (76133442420).

Almost surely, 22199120209022 is an apocalyptic number.

2199120209022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199120209022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436270157440).

2199120209022 is an abundant number, since it is smaller than the sum of its proper divisors (2673420105858).

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

2199120209022 is a wasteful number, since it uses less digits than its factorization.

2199120209022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981270 (or 1981248 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 2199120209022 in words is "two trillion, one hundred ninety-nine billion, one hundred twenty million, two hundred nine thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 139 242 278 363 417 726 834 1331 1529 2662 3058 3993 4587 7986 9174 16819 33638 50457 100914 185009 370018 555027 1110054 1981093 3962186 5943279 11886558 21792023 43584046 65376069 130752138 239712253 275371927 479424506 550743854 719136759 826115781 1438273518 1652231562 2636834783 3029091197 5273669566 6058182394 7910504349 9087273591 15821008698 18174547182 33320003167 66640006334 99960009501 199920019002 366520034837 733040069674 1099560104511 2199120209022