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2220145326 = 2327194122619
BaseRepresentation
bin1000010001010100…
…1011101010101110
312201201121001211200
42010111023222232
514021324122301
61004145230330
7106005631620
oct20425135256
95651531750
102220145326
11a3a23a053
1251b6323a6
13294c65c79
14170c02c10
15ced9ac86
hex8454baae

2220145326 has 96 divisors (see below), whose sum is σ = 5928249600. Its totient is φ = 586258560.

The previous prime is 2220145283. The next prime is 2220145349. The reversal of 2220145326 is 6235410222.

It is a happy number.

2220145326 is a `hidden beast` number, since 2 + 2 + 201 + 453 + 2 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2220145326.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86845 + ... + 109463.

It is an arithmetic number, because the mean of its divisors is an integer number (61752600).

Almost surely, 22220145326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220145326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964124800).

2220145326 is an abundant number, since it is smaller than the sum of its proper divisors (3708104274).

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

2220145326 is a wasteful number, since it uses less digits than its factorization.

2220145326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22694 (or 22691 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2220145326 is about 47118.4181186084. The cubic root of 2220145326 is about 1304.5492149823.

Adding to 2220145326 its reverse (6235410222), we get a palindrome (8455555548).

The spelling of 2220145326 in words is "two billion, two hundred twenty million, one hundred forty-five thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 41 42 57 63 82 114 123 126 133 171 246 266 287 342 369 399 574 738 779 798 861 1197 1558 1722 2337 2394 2583 4674 5166 5453 7011 10906 14022 16359 22619 32718 45238 49077 67857 98154 135714 158333 203571 316666 407142 429761 474999 859522 927379 949998 1289283 1424997 1854758 2578566 2782137 2849994 3008327 3867849 5564274 6016654 6491653 7735698 8346411 9024981 12983306 16692822 17620201 18049962 19474959 27074943 35240402 38949918 52860603 54149886 58424877 105721206 116849754 123341407 158581809 246682814 317163618 370024221 740048442 1110072663 2220145326