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2022002111440 = 2451923471230587
BaseRepresentation
bin11101011011001000101…
…101111011001111010000
321011022010210200220210101
4131123020231323033100
5231112030020031230
64144521150342144
7266041045236403
oct35331055731720
97138123626711
102022002111440
1170a587529863
12287a644ba954
1311889b97541c
146dc18a1dd3a
15378e48c6aca
hex1d6c8b7b3d0

2022002111440 has 160 divisors (see below), whose sum is σ = 5273611038720. Its totient is φ = 717323346432.

The previous prime is 2022002111413. The next prime is 2022002111443. The reversal of 2022002111440 is 441112002202.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022002111443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027827 + ... + 2258413.

It is an arithmetic number, because the mean of its divisors is an integer number (32960068992).

Almost surely, 22022002111440 is an apocalyptic number.

2022002111440 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 2022002111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636805519360).

2022002111440 is an abundant number, since it is smaller than the sum of its proper divisors (3251608927280).

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

2022002111440 is a wasteful number, since it uses less digits than its factorization.

2022002111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230689 (or 1230683 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2022002111440 its reverse (441112002202), we get a palindrome (2463114113642).

The spelling of 2022002111440 in words is "two trillion, twenty-two billion, two million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 47 76 80 92 94 95 115 152 184 188 190 230 235 304 368 376 380 437 460 470 752 760 874 893 920 940 1081 1520 1748 1786 1840 1880 2162 2185 3496 3572 3760 4324 4370 4465 5405 6992 7144 8648 8740 8930 10810 14288 17296 17480 17860 20539 21620 34960 35720 41078 43240 71440 82156 86480 102695 164312 205390 328624 410780 821560 1230587 1643120 2461174 4922348 6152935 9844696 12305870 19689392 23381153 24611740 28303501 46762306 49223480 56607002 57837589 93524612 98446960 113214004 115675178 116905765 141517505 187049224 226428008 231350356 233811530 283035010 289187945 374098448 452856016 462700712 467623060 537766519 566070020 578375890 925401424 935246120 1075533038 1098914191 1132140040 1156751780 1330264547 1870492240 2151066076 2197828382 2264280080 2313503560 2660529094 2688832595 4302132152 4395656764 4627007120 5321058188 5377665190 5494570955 6651322735 8604264304 8791313528 10642116376 10755330380 10989141910 13302645470 17582627056 21284232752 21510660760 21978283820 25275026393 26605290940 43021321520 43956567640 50550052786 53210581880 87913135280 101100105572 106421163760 126375131965 202200211144 252750263930 404400422288 505500527860 1011001055720 2022002111440