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22430400330 = 23513891314933
BaseRepresentation
bin10100111000111101…
…001011111101001010
32010220012202101201210
4110320331023331022
5331414140302310
614145425153550
71422563154102
oct247075137512
963805671653
1022430400330
119570415838
12441ba8b8b6
132166078840
14112adba202
158b42e9820
hex538f4bf4a

22430400330 has 128 divisors (see below), whose sum is σ = 59084847360. Its totient is φ = 5416519680.

The previous prime is 22430400329. The next prime is 22430400337. The reversal of 22430400330 is 3300403422.

It is a junction number, because it is equal to n+sod(n) for n = 22430400297 and 22430400306.

It is not an unprimeable number, because it can be changed into a prime (22430400337) 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, 4544544 + ... + 4549476.

It is an arithmetic number, because the mean of its divisors is an integer number (461600370).

Almost surely, 222430400330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22430400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29542423680).

22430400330 is an abundant number, since it is smaller than the sum of its proper divisors (36654447030).

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

22430400330 is a wasteful number, since it uses less digits than its factorization.

22430400330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176.

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 22430400330 its reverse (3300403422), we get a palindrome (25730803752).

The spelling of 22430400330 in words is "twenty-two billion, four hundred thirty million, four hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 131 178 195 262 267 390 393 445 534 655 786 890 1157 1310 1335 1703 1965 2314 2670 3406 3471 3930 4933 5109 5785 6942 8515 9866 10218 11570 11659 14799 17030 17355 23318 24665 25545 29598 34710 34977 49330 51090 58295 64129 69954 73995 116590 128258 147990 151567 174885 192387 303134 320645 349770 384774 439037 454701 641290 646223 757835 878074 909402 961935 1292446 1317111 1515670 1923870 1938669 2195185 2273505 2634222 3231115 3877338 4390370 4547010 5707481 6462230 6585555 8400899 9693345 11414962 13171110 16801798 17122443 19386690 25202697 28537405 34244886 42004495 50405394 57074810 57513847 84008990 85612215 115027694 126013485 171224430 172541541 252026970 287569235 345083082 575138470 747680011 862707705 1495360022 1725415410 2243040033 3738400055 4486080066 7476800110 11215200165 22430400330