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203322420220240 = 24531617118929773
BaseRepresentation
bin101110001110101110110000…
…101000011101000101010000
3222122220102201001102120001001
4232032232300220131011100
5203122213304034021430
62000233010321151344
760553363054241656
oct5616566050350520
9878812631376031
10203322420220240
115986a610678662
121a9792b718b554
13895b2b6840699
14382cc01548dd6
151878d3942a3ca
hexb8ebb0a1d150

203322420220240 has 160 divisors (see below), whose sum is σ = 502958946281472. Its totient is φ = 76324840704000.

The previous prime is 203322420220237. The next prime is 203322420220261. The reversal of 203322420220240 is 42022024223302.

It is a super-2 number, since 2×2033224202202402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203322420220199 and 203322420220208.

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, 1275994 + ... + 20205766.

Almost surely, 2203322420220240 is an apocalyptic number.

203322420220240 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 203322420220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251479473140736).

203322420220240 is an abundant number, since it is smaller than the sum of its proper divisors (299636526061232).

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

203322420220240 is a wasteful number, since it uses less digits than its factorization.

203322420220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18929949 (or 18929943 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 203322420220240 its reverse (42022024223302), we get a palindrome (245344444443542).

The spelling of 203322420220240 in words is "two hundred three trillion, three hundred twenty-two billion, four hundred twenty million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 61 62 71 80 122 124 142 155 244 248 284 305 310 355 488 496 568 610 620 710 976 1136 1220 1240 1420 1891 2201 2440 2480 2840 3782 4331 4402 4880 5680 7564 8662 8804 9455 11005 15128 17324 17608 18910 21655 22010 30256 34648 35216 37820 43310 44020 69296 75640 86620 88040 134261 151280 173240 176080 268522 346480 537044 671305 1074088 1342610 2148176 2685220 5370440 10740880 18929773 37859546 75719092 94648865 151438184 189297730 302876368 378595460 586822963 757190920 1154716153 1173645926 1344013883 1514381840 2309432306 2347291852 2688027766 2934114815 4618864612 4694583704 5376055532 5773580765 5868229630 6720069415 9237729224 9389167408 10752111064 11547161530 11736459260 13440138830 18475458448 21504222128 23094323060 23472918520 26880277660 35796200743 41664430373 46188646120 46945837040 53760555320 71592401486 81984846863 83328860746 92377292240 107521110640 143184802972 163969693726 166657721492 178981003715 208322151865 286369605944 327939387452 333315442984 357962007430 409924234315 416644303730 572739211888 655878774904 666630885968 715924014860 819848468630 833288607460 1311757549808 1431848029720 1639696937260 1666577214920 2541530252753 2863696059440 3279393874520 3333154429840 5083060505506 6558787749040 10166121011012 12707651263765 20332242022024 25415302527530 40664484044048 50830605055060 101661210110120 203322420220240