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20424400020 = 2233537822963
BaseRepresentation
bin10011000001011000…
…111001110010010100
31221201102010000122000
4103001120321302110
5313312121300040
613214405435300
71322064351513
oct230130716224
957642100560
1020424400020
118731050042
123b6010bb30
131c065b02cb
14dba7dc67a
157e814e130
hex4c1639c94

20424400020 has 48 divisors (see below), whose sum is σ = 63542579520. Its totient is φ = 5446506528.

The previous prime is 20424400019. The next prime is 20424400027. The reversal of 20424400020 is 2000442402.

20424400020 is a `hidden beast` number, since 204 + 2 + 440 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×204244000202 (a number of 21 digits) contains 22 as substring.

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 = 20424399966 and 20424400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20424400027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18910942 + ... + 18912021.

It is an arithmetic number, because the mean of its divisors is an integer number (1323803740).

Almost surely, 220424400020 is an apocalyptic number.

20424400020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424400020 is an abundant number, since it is smaller than the sum of its proper divisors (43118179500).

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

20424400020 is a wasteful number, since it uses less digits than its factorization.

20424400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37822981 (or 37822973 counting only the distinct ones).

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

Adding to 20424400020 its reverse (2000442402), we get a palindrome (22424842422).

The spelling of 20424400020 in words is "twenty billion, four hundred twenty-four million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 37822963 75645926 113468889 151291852 189114815 226937778 340406667 378229630 453875556 567344445 680813334 756459260 1021220001 1134688890 1361626668 1702033335 2042440002 2269377780 3404066670 4084880004 5106100005 6808133340 10212200010 20424400020