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22224020202 = 232171491812693
BaseRepresentation
bin10100101100101001…
…111010001011101010
32010100211102012102100
4110230221322023222
5331003322121302
614113133514230
71414506024546
oct245451721352
963324365370
1022224020202
11947497534a
124382942976
132132399517
14110b816a26
158a112ed1c
hex52ca7a2ea

22224020202 has 96 divisors (see below), whose sum is σ = 51629432400. Its totient is φ = 6884628480.

The previous prime is 22224020201. The next prime is 22224020243. The reversal of 22224020202 is 20202042222.

It is a happy number.

22224020202 is a `hidden beast` number, since 222 + 240 + 2 + 0 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2332020681 + 19891999521 = 48291^2 + 141039^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22224020201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8251168 + ... + 8253860.

Almost surely, 222224020202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22224020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25814716200).

22224020202 is an abundant number, since it is smaller than the sum of its proper divisors (29405412198).

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

22224020202 is a wasteful number, since it uses less digits than its factorization.

22224020202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22224020202 its reverse (20202042222), we get a palindrome (42426062424).

The spelling of 22224020202 in words is "twenty-two billion, two hundred twenty-four million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 149 153 181 298 306 362 447 543 894 1086 1341 1629 2533 2682 2693 3077 3258 5066 5386 6154 7599 8079 9231 15198 16158 18462 22797 24237 26969 27693 45594 45781 48474 53938 55386 80907 91562 137343 161814 242721 274686 401257 412029 458473 485442 487433 802514 824058 916946 974866 1203771 1375419 1462299 2407542 2750838 2924598 3611313 4126257 4386897 6821369 7222626 8252514 8286361 8773794 13642738 16572722 20464107 24859083 40928214 49718166 61392321 72627517 74577249 122784642 145255034 149154498 217882551 435765102 653647653 1234667789 1307295306 2469335578 3704003367 7408006734 11112010101 22224020202