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24422420240 = 245793864307
BaseRepresentation
bin10110101111101100…
…001000111100010000
32100001001002111022222
4112233230020330100
5400004114421430
615115225120212
71523132101241
oct265754107420
970031074288
1024422420240
11a3a2901889
124897029068
1323c298a84a
141279798cc8
1597e1329e5
hex5afb08f10

24422420240 has 40 divisors (see below), whose sum is σ = 57500903040. Its totient is φ = 9645307776.

The previous prime is 24422420227. The next prime is 24422420249. The reversal of 24422420240 is 4202422442.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×244224202402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24422420249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1925834 + ... + 1938473.

It is an arithmetic number, because the mean of its divisors is an integer number (1437522576).

Almost surely, 224422420240 is an apocalyptic number.

24422420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24422420240 is an abundant number, since it is smaller than the sum of its proper divisors (33078482800).

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

24422420240 is a wasteful number, since it uses less digits than its factorization.

24422420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864399 (or 3864393 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 24422420240 its reverse (4202422442), we get a palindrome (28624842682).

The spelling of 24422420240 in words is "twenty-four billion, four hundred twenty-two million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 3864307 7728614 15457228 19321535 30914456 38643070 61828912 77286140 154572280 305280253 309144560 610560506 1221121012 1526401265 2442242024 3052802530 4884484048 6105605060 12211210120 24422420240