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22032230321320 = 2353759982130271
BaseRepresentation
bin1010000001001110001110…
…10000110000110010101000
32220000021001000100022200021
411000213013100300302220
510341434001430240240
6114505244502450224
74432530130522222
oct500470720606250
986007030308607
1022032230321320
1170248a870130a
122579bb1433974
13c3a826cc9b4b
14562519447412
1528319769854a
hex1409c7430ca8

22032230321320 has 128 divisors (see below), whose sum is σ = 51061114368000. Its totient is φ = 8549681587200.

The previous prime is 22032230321273. The next prime is 22032230321407. The reversal of 22032230321320 is 2312303223022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727817785 + ... + 727848055.

It is an arithmetic number, because the mean of its divisors is an integer number (398914956000).

Almost surely, 222032230321320 is an apocalyptic number.

22032230321320 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 22032230321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25530557184000).

22032230321320 is an abundant number, since it is smaller than the sum of its proper divisors (29028884046680).

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

22032230321320 is a wasteful number, since it uses less digits than its factorization.

22032230321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31739 (or 31735 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 22032230321320 its reverse (2312303223022), we get a palindrome (24344533544342).

The spelling of 22032230321320 in words is "twenty-two trillion, thirty-two billion, two hundred thirty million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 599 740 821 1198 1480 1642 2396 2995 3284 4105 4792 5990 6568 8210 11980 16420 22163 23960 30271 30377 32840 44326 60542 60754 88652 110815 121084 121508 151355 151885 177304 221630 242168 243016 302710 303770 443260 491779 605420 607540 886520 983558 1120027 1210840 1215080 1967116 2240054 2458895 3934232 4480108 4917790 5600135 8960216 9835580 11200270 18132329 18195823 19671160 22400540 24852491 36264658 36391646 44801080 49704982 72529316 72783292 90661645 90979115 99409964 124262455 145058632 145566584 181323290 181958230 198819928 248524910 362646580 363916460 497049820 670896173 725293160 727832920 919542167 994099640 1341792346 1839084334 2683584692 3354480865 3678168668 4597710835 5367169384 6708961730 7356337336 9195421670 13417923460 14886642109 18390843340 26835846920 29773284218 36781686680 59546568436 74433210545 119093136872 148866421090 297732842180 550805758033 595465684360 1101611516066 2203223032132 2754028790165 4406446064264 5508057580330 11016115160660 22032230321320