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42202444022220 = 22357970391264877
BaseRepresentation
bin10011001100010000001011…
…01011110100000111001100
312112102111212212220201222110
421212020011223310013030
521012421101132202340
6225431311331144020
711614011622252026
oct1146100553640714
9175374785821873
1042202444022220
11124a0a57487129
124897149145010
131a7189a5ab1a1
14a5c875889016
154d2bb09dd680
hex266205af41cc

42202444022220 has 96 divisors (see below), whose sum is σ = 119679720652800. Its totient is φ = 11109942215424.

The previous prime is 42202444022197. The next prime is 42202444022227. The reversal of 42202444022220 is 2222044420224.

It is a super-2 number, since 2×422024440222202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42202444022227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32732422 + ... + 33997298.

It is an arithmetic number, because the mean of its divisors is an integer number (1246663756800).

Almost surely, 242202444022220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42202444022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59839860326400).

42202444022220 is an abundant number, since it is smaller than the sum of its proper divisors (77477276630580).

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

42202444022220 is a wasteful number, since it uses less digits than its factorization.

42202444022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272007 (or 1272005 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42202444022220 its reverse (2222044420224), we get a palindrome (44424488442444).

The spelling of 42202444022220 in words is "forty-two trillion, two hundred two billion, four hundred forty-four million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 7039 14078 21117 28156 35195 42234 70390 84468 105585 140780 211170 422340 556081 1112162 1264877 1668243 2224324 2529754 2780405 3336486 3794631 5059508 5560810 6324385 6672972 7589262 8341215 11121620 12648770 15178524 16682430 18973155 25297540 33364860 37946310 75892620 99925283 199850566 299775849 399701132 499626415 599551698 999252830 1199103396 1498879245 1998505660 2997758490 5995516980 8903469203 17806938406 26710407609 35613876812 44517346015 53420815218 89034692030 106841630436 133552038045 178069384060 267104076090 534208152180 703374067037 1406748134074 2110122201111 2813496268148 3516870335185 4220244402222 7033740670370 8440488804444 10550611005555 14067481340740 21101222011110 42202444022220