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2189440050 = 235272893347
BaseRepresentation
bin1000001010000000…
…0011010000110010
312122120211002010020
42002200003100302
513440444040200
61001131144310
7105153635100
oct20240032062
95576732106
102189440050
11a23977796
125112a5096
1328b7a4c75
1416aaccc70
15cc332ea0
hex82803432

2189440050 has 144 divisors (see below), whose sum is σ = 6389189280. Its totient is φ = 494672640.

The previous prime is 2189440039. The next prime is 2189440051. The reversal of 2189440050 is 500449812.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2189439993 and 2189440020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189440051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 652477 + ... + 655823.

It is an arithmetic number, because the mean of its divisors is an integer number (44369370).

Almost surely, 22189440050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189440050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194594640).

2189440050 is an abundant number, since it is smaller than the sum of its proper divisors (4199749230).

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

2189440050 is a wasteful number, since it uses less digits than its factorization.

2189440050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2189440050 is about 46791.4527451328. The cubic root of 2189440050 is about 1298.5071719997.

Adding to 2189440050 its reverse (500449812), we get a palindrome (2689889862).

The spelling of 2189440050 in words is "two billion, one hundred eighty-nine million, four hundred forty thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 89 98 105 147 150 175 178 210 245 267 294 350 445 490 525 534 623 735 890 1050 1225 1246 1335 1470 1869 2225 2450 2670 3115 3347 3675 3738 4361 4450 6230 6675 6694 7350 8722 9345 10041 13083 13350 15575 16735 18690 20082 21805 23429 26166 31150 33470 43610 46725 46858 50205 65415 70287 83675 93450 100410 109025 117145 130830 140574 164003 167350 218050 234290 251025 297883 327075 328006 351435 492009 502050 585725 595766 654150 702870 820015 893649 984018 1171450 1489415 1640030 1757175 1787298 2085181 2460045 2978830 3514350 4100075 4170362 4468245 4920090 6255543 7447075 8200150 8936490 10425905 12300225 12511086 14596267 14894150 20851810 22341225 24600450 29192534 31277715 43788801 44682450 52129525 62555430 72981335 87577602 104259050 145962670 156388575 218944005 312777150 364906675 437888010 729813350 1094720025 2189440050