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20222240040 = 2332556172889
BaseRepresentation
bin10010110101010101…
…101110010100101000
31221012022201020021100
4102311111232110220
5312403343140130
613142344441400
71314061130022
oct226525562450
957168636240
1020222240040
118637a22282
123b04479260
131ba374ab12
14d9ba17012
157d5519c60
hex4b556e528

20222240040 has 48 divisors (see below), whose sum is σ = 65722281300. Its totient is φ = 5392597248.

The previous prime is 20222239957. The next prime is 20222240041. The reversal of 20222240040 is 4004222202.

20222240040 is a `hidden beast` number, since 2 + 0 + 2 + 222 + 400 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19165079844 + 1057160196 = 138438^2 + 32514^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20222239995 and 20222240022.

It is not an unprimeable number, because it can be changed into a prime (20222240041) 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 11 ways as a sum of consecutive naturals, for example, 28086085 + ... + 28086804.

Almost surely, 220222240040 is an apocalyptic number.

20222240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222240040 is an abundant number, since it is smaller than the sum of its proper divisors (45500041260).

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

20222240040 is a wasteful number, since it uses less digits than its factorization.

20222240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56172906 (or 56172899 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20222240040 its reverse (4004222202), we get a palindrome (24226462242).

The spelling of 20222240040 in words is "twenty billion, two hundred twenty-two million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 56172889 112345778 168518667 224691556 280864445 337037334 449383112 505556001 561728890 674074668 842593335 1011112002 1123457780 1348149336 1685186670 2022224004 2246915560 2527780005 3370373340 4044448008 5055560010 6740746680 10111120020 20222240040