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22000320133020 = 22325672511172647
BaseRepresentation
bin1010000000010010110010…
…10001000011011110011100
32212220012200010200210120100
411000021121101003132130
510340423123423224040
6114442450232421100
74430320304431245
oct500113121033634
985805603623510
1022000320133020
117012313193569
122573986847790
13c3780cc74a18
14560b6d441ccc
1528242aeecb30
hex14025944379c

22000320133020 has 144 divisors (see below), whose sum is σ = 67733968393728. Its totient is φ = 5778878878080.

The previous prime is 22000320132997. The next prime is 22000320133027. The reversal of 22000320133020 is 2033102300022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22000320132984 and 22000320133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000320133027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302802337 + ... + 302874983.

It is an arithmetic number, because the mean of its divisors is an integer number (470374780512).

Almost surely, 222000320133020 is an apocalyptic number.

22000320133020 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 22000320133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33866984196864).

22000320133020 is an abundant number, since it is smaller than the sum of its proper divisors (45733648260708).

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

22000320133020 is a wasteful number, since it uses less digits than its factorization.

22000320133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97840 (or 97835 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22000320133020 its reverse (2033102300022), we get a palindrome (24033422433042).

The spelling of 22000320133020 in words is "twenty-two trillion, three hundred twenty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 25111 50222 72647 75333 100444 125555 145294 150666 217941 225999 251110 290588 301332 363235 376665 435882 451998 502220 653823 726470 753330 871764 903996 1089705 1129995 1307646 1452940 1506660 1682437 2179410 2259990 2615292 3269115 3364874 4358820 4519980 4867349 5047311 6538230 6729748 8412185 9734698 10094622 13076460 14602047 15141933 16824370 19469396 20189244 24336745 25236555 29204094 30283866 33648740 43806141 48673490 50473110 58408188 60567732 73010235 75709665 87612282 97346980 100946220 146020470 151419330 175224564 219030705 292040940 302838660 438061410 876122820 1824238817 3648477634 5472716451 7296955268 9121194085 10945432902 16418149353 18242388170 21890865804 27363582255 32836298706 36484776340 54727164510 65672597412 82090746765 109454329020 122224000739 164181493530 244448001478 328362987060 366672002217 488896002956 611120003695 733344004434 1100016006651 1222240007390 1466688008868 1833360011085 2200032013302 2444480014780 3666720022170 4400064026604 5500080033255 7333440044340 11000160066510 22000320133020