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202424424202 = 272111322394649
BaseRepresentation
bin1011110010000101101…
…1111001011100001010
3201100111022021012021101
42330201123321130022
511304031123033302
6232554213532014
720424160134100
oct2744133713412
9640438235241
10202424424202
1178936345a70
123329364400a
131611c6a9c00
149b2409bc70
1553eb222287
hex2f216f970a

202424424202 has 144 divisors (see below), whose sum is σ = 419075856000. Its totient is φ = 72479796480.

The previous prime is 202424424193. The next prime is 202424424281.

202424424202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2024244242022 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43539174 + ... + 43543822.

It is an arithmetic number, because the mean of its divisors is an integer number (2910249000).

Almost surely, 2202424424202 is an apocalyptic number.

202424424202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202424424202 is an abundant number, since it is smaller than the sum of its proper divisors (216651431798).

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

202424424202 is a wasteful number, since it uses less digits than its factorization.

202424424202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 202424 and 424202, that added together give a palindrome (626626).

The spelling of 202424424202 in words is "two hundred two billion, four hundred twenty-four million, four hundred twenty-four thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 169 182 239 286 338 478 539 637 1001 1078 1183 1274 1673 1859 2002 2366 2629 3107 3346 3718 4649 5258 6214 7007 8281 9298 11711 13013 14014 16562 18403 21749 23422 26026 32543 34177 36806 40391 43498 51139 60437 65086 68354 80782 91091 102278 120874 128821 152243 182182 227801 239239 257642 282737 304486 357973 423059 444301 455602 478478 565474 664807 715946 785681 846118 888602 1111111 1329614 1571362 1674673 1979159 2222222 2505811 2961413 3110107 3349346 3958318 4653649 5011622 5499767 5922826 6220214 7777777 8642491 9307298 10999534 12222221 14444443 15555554 17284982 21770749 24444442 28888886 32575543 38498369 43541498 54444439 60497437 65151086 76996738 85555547 101111101 108888878 120994874 158888873 171111094 187777759 202222202 317777746 375555518 423482059 598888829 707777707 846964118 1112222111 1197777658 1314444313 1415555414 2065555349 2224444222 2628888626 4131110698 7785554777 9201110191 14458887443 15571109554 18402220382 28917774886 101212212101 202424424202