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202422424240 = 24514918119377
BaseRepresentation
bin1011110010000101010…
…0010001001010110000
3201100111011111120211201
42330201110101022300
511304030120033430
6232554103020544
720424134134231
oct2744124211260
9640434446751
10202422424240
11789351aa403
1233292a3a754
131611c1597ba
149b23adb088
1553eae798ca
hex2f215112b0

202422424240 has 80 divisors (see below), whose sum is σ = 474102914400. Its totient is φ = 80372572160.

The previous prime is 202422424223. The next prime is 202422424279. The reversal of 202422424240 is 42424224202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 202422424199 and 202422424208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21582432 + ... + 21591808.

It is an arithmetic number, because the mean of its divisors is an integer number (5926286430).

Almost surely, 2202422424240 is an apocalyptic number.

202422424240 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 202422424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237051457200).

202422424240 is an abundant number, since it is smaller than the sum of its proper divisors (271680490160).

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

202422424240 is a wasteful number, since it uses less digits than its factorization.

202422424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350 (or 11344 counting only the distinct ones).

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

Adding to 202422424240 its reverse (42424224202), we get a palindrome (244846648442).

The spelling of 202422424240 in words is "two hundred two billion, four hundred twenty-two million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 1811 2384 2980 3622 5960 7244 9055 9377 11920 14488 18110 18754 28976 36220 37508 46885 72440 75016 93770 144880 150032 187540 269839 375080 539678 750160 1079356 1349195 1397173 2158712 2698390 2794346 4317424 5396780 5588692 6985865 10793560 11177384 13971730 16981747 21587120 22354768 27943460 33963494 55886920 67926988 84908735 111773840 135853976 169817470 271707952 339634940 679269880 1358539760 2530280303 5060560606 10121121212 12651401515 20242242424 25302803030 40484484848 50605606060 101211212120 202422424240