Search a number
-
+
22240224330 = 23517831733037
BaseRepresentation
bin10100101101100111…
…101110010001001010
32010101221220110022020
4110231213232101022
5331021444134310
614114513105310
71415063534112
oct245547562112
963357813266
1022240224330
119483032795
124388258236
132135850c6c
14110da34042
158a2781170
hex52d9ee44a

22240224330 has 128 divisors (see below), whose sum is σ = 57546816768. Its totient is φ = 5480927232.

The previous prime is 22240224319. The next prime is 22240224343. The reversal of 22240224330 is 3342204222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22240224330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7321572 + ... + 7324608.

It is an arithmetic number, because the mean of its divisors is an integer number (449584506).

Almost surely, 222240224330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22240224330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28773408384).

22240224330 is an abundant number, since it is smaller than the sum of its proper divisors (35306592438).

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

22240224330 is a wasteful number, since it uses less digits than its factorization.

22240224330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22240224330 its reverse (3342204222), we get a palindrome (25582428552).

The spelling of 22240224330 in words is "twenty-two billion, two hundred forty million, two hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 83 85 102 166 170 173 249 255 346 415 498 510 519 830 865 1038 1245 1411 1730 2490 2595 2822 2941 3037 4233 5190 5882 6074 7055 8466 8823 9111 14110 14359 14705 15185 17646 18222 21165 28718 29410 30370 42330 43077 44115 45555 51629 71795 86154 88230 91110 103258 143590 154887 215385 244103 252071 258145 309774 430770 488206 504142 516290 525401 732309 756213 774435 1050802 1220515 1260355 1464618 1512426 1548870 1576203 2441030 2520710 2627005 3152406 3661545 3781065 4285207 5254010 7323090 7562130 7881015 8570414 8931817 12855621 15762030 17863634 21426035 25711242 26795451 42852070 43608283 44659085 53590902 64278105 87216566 89318170 128556210 130824849 133977255 218041415 261649698 267954510 436082830 654124245 741340811 1308248490 1482681622 2224022433 3706704055 4448044866 7413408110 11120112165 22240224330