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21222363202160 = 245312415966373
BaseRepresentation
bin1001101001101001101110…
…11010111000001001110000
32210010211121222110222210212
410310310313122320021300
510240201344434432120
6113045230303443252
74320156641555021
oct464646732701160
983124558428725
1021222363202160
11684239884198a
1224690525b6528
13bac34ca49b33
1453524c86cc48
1526c097ee56c5
hex134d376b8270

21222363202160 has 120 divisors (see below), whose sum is σ = 50998043416320. Its totient is φ = 8213009333760.

The previous prime is 21222363202141. The next prime is 21222363202163. The reversal of 21222363202160 is 6120236322212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222363202163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319710734 + ... + 319777106.

It is an arithmetic number, because the mean of its divisors is an integer number (424983695136).

Almost surely, 221222363202160 is an apocalyptic number.

21222363202160 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 21222363202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25499021708160).

21222363202160 is an abundant number, since it is smaller than the sum of its proper divisors (29775680214160).

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

21222363202160 is a wasteful number, since it uses less digits than its factorization.

21222363202160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70607 (or 70570 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 21222363202160 its reverse (6120236322212), we get a palindrome (27342599524372).

The spelling of 21222363202160 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred sixty-three million, two hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 961 1240 1922 2480 3844 4159 4805 7688 8318 9610 15376 16636 19220 20795 33272 38440 41590 66373 66544 76880 83180 128929 132746 166360 257858 265492 331865 332720 515716 530984 644645 663730 1031432 1061968 1289290 1327460 2057563 2062864 2578580 2654920 3996799 4115126 5157160 5309840 7993598 8230252 10287815 10314320 15987196 16460504 19983995 20575630 31974392 32921008 39967990 41151260 63784453 63948784 79935980 82302520 127568906 159871960 164605040 255137812 276045307 318922265 319743920 510275624 552090614 637844530 1020551248 1104181228 1275689060 1380226535 2208362456 2551378120 2760453070 4416724912 5102756240 5520906140 8557404517 11041812280 17114809034 22083624560 34229618068 42787022585 68459236136 85574045170 136918472272 171148090340 265279540027 342296180680 530559080054 684592361360 1061118160108 1326397700135 2122236320216 2652795400270 4244472640432 5305590800540 10611181601080 21222363202160