Search a number
-
+
20229501540 = 22353898591009
BaseRepresentation
bin10010110101110001…
…011011001001100100
31221012211101011011210
4102311301123021210
5312412223022130
613143204231420
71314206632413
oct226561331144
957184334153
1020229501540
118641031a16
123b0699b570
131ba50c1071
14d9c98747a
157d5ea15b0
hex4b5c5b264

20229501540 has 96 divisors (see below), whose sum is σ = 56910672000. Its totient is φ = 5369075712.

The previous prime is 20229501529. The next prime is 20229501563. The reversal of 20229501540 is 4510592202.

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

It is a junction number, because it is equal to n+sod(n) for n = 20229501498 and 20229501507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20048556 + ... + 20049564.

It is an arithmetic number, because the mean of its divisors is an integer number (592819500).

Almost surely, 220229501540 is an apocalyptic number.

20229501540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20229501540 is an abundant number, since it is smaller than the sum of its proper divisors (36681170460).

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

20229501540 is a wasteful number, since it uses less digits than its factorization.

20229501540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 20229501540 in words is "twenty billion, two hundred twenty-nine million, five hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 389 778 859 1009 1167 1556 1718 1945 2018 2334 2577 3027 3436 3890 4036 4295 4668 5045 5154 5835 6054 7780 8590 10090 10308 11670 12108 12885 15135 17180 20180 23340 25770 30270 51540 60540 334151 392501 668302 785002 866731 1002453 1177503 1336604 1570004 1670755 1733462 1962505 2004906 2355006 2600193 3341510 3466924 3925010 4009812 4333655 4710012 5012265 5200386 5887515 6683020 7850020 8667310 10024530 10400772 11775030 13000965 17334620 20049060 23550060 26001930 52003860 337158359 674316718 1011475077 1348633436 1685791795 2022950154 3371583590 4045900308 5057375385 6743167180 10114750770 20229501540