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22413324431320 = 23519181523311539
BaseRepresentation
bin1010001100010100000100…
…01111011010111111011000
32221100200201010010222011221
411012022002033122333120
510414204442023300240
6115400312240101424
74502211034151344
oct506120217327730
987320633128157
1022413324431320
11716148a366729
12261ba29004874
13c6774b82b314
14576b4c76c624
1528d04e3e6a4a
hex1462823dafd8

22413324431320 has 128 divisors (see below), whose sum is σ = 53479704096000. Its totient is φ = 8430367818240.

The previous prime is 22413324431261. The next prime is 22413324431353. The reversal of 22413324431320 is 2313442331422.

It is a super-2 number, since 2×224133244313202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71788111 + ... + 72099649.

It is an arithmetic number, because the mean of its divisors is an integer number (417810188250).

Almost surely, 222413324431320 is an apocalyptic number.

22413324431320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22413324431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26739852048000).

22413324431320 is an abundant number, since it is smaller than the sum of its proper divisors (31066379664680).

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

22413324431320 is a wasteful number, since it uses less digits than its factorization.

22413324431320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312273 (or 312269 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 22413324431320 its reverse (2313442331422), we get a palindrome (24726766762742).

The spelling of 22413324431320 in words is "twenty-two trillion, four hundred thirteen billion, three hundred twenty-four million, four hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 181 190 362 380 523 724 760 905 1046 1448 1810 2092 2615 3439 3620 4184 5230 6878 7240 9937 10460 13756 17195 19874 20920 27512 34390 39748 49685 68780 79496 94663 99370 137560 189326 198740 311539 378652 397480 473315 623078 757304 946630 1246156 1557695 1798597 1893260 2492312 3115390 3597194 3786520 5919241 6230780 7194388 8992985 11838482 12461560 14388776 17985970 23676964 29596205 35971940 47353928 56388559 59192410 71943880 112777118 118384820 162934897 225554236 236769640 281942795 325869794 451108472 563885590 651739588 814674485 1071382621 1127771180 1303479176 1629348970 2142765242 2255542360 3095763043 3258697940 4285530484 5356913105 6191526086 6517395880 8571060968 10713826210 12383052172 15478815215 21427652420 24766104344 29491216357 30957630430 42855304840 58982432714 61915260860 117964865428 123830521720 147456081785 235929730856 294912163570 560333110783 589824327140 1120666221566 1179648654280 2241332443132 2801665553915 4482664886264 5603331107830 11206662215660 22413324431320