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22430321430 = 235111493731223
BaseRepresentation
bin10100111000111100…
…111000101100010110
32010220012121101111120
4110320330320230112
5331414130241210
614145423344410
71422562405056
oct247074705426
963805541446
1022430321430
119570371530
12441ba52106
13216604b95a
14112ad99566
158b42d1270
hex538f38b16

22430321430 has 128 divisors (see below), whose sum is σ = 59327769600. Its totient is φ = 5382274560.

The previous prime is 22430321399. The next prime is 22430321437. The reversal of 22430321430 is 3412303422.

It is a self number, because there is not a number n which added to its sum of digits gives 22430321430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22430321437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18339799 + ... + 18341021.

It is an arithmetic number, because the mean of its divisors is an integer number (463498200).

Almost surely, 222430321430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22430321430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29663884800).

22430321430 is an abundant number, since it is smaller than the sum of its proper divisors (36897448170).

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

22430321430 is a wasteful number, since it uses less digits than its factorization.

22430321430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22430321430 its reverse (3412303422), we get a palindrome (25842624852).

The spelling of 22430321430 in words is "twenty-two billion, four hundred thirty million, three hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 149 165 298 330 373 447 745 746 894 1119 1223 1490 1639 1865 2235 2238 2446 3278 3669 3730 4103 4470 4917 5595 6115 7338 8195 8206 9834 11190 12230 12309 13453 16390 18345 20515 24585 24618 26906 36690 40359 41030 49170 55577 61545 67265 80718 111154 123090 134530 166731 182227 201795 277885 333462 364454 403590 456179 546681 555770 611347 833655 911135 912358 1093362 1222694 1368537 1667310 1822270 1834041 2004497 2280895 2733405 2737074 3056735 3668082 4008994 4561790 5017969 5466810 6013491 6113470 6842685 9170205 10022485 10035938 12026982 13685370 15053907 18340410 20044970 25089845 30067455 30107814 50179690 60134910 67970671 75269535 135941342 150539070 203912013 339853355 407824026 679706710 747677381 1019560065 1495354762 2039120130 2243032143 3738386905 4486064286 7476773810 11215160715 22430321430