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20242220020 = 225111018571063
BaseRepresentation
bin10010110110100001…
…111100001111110100
31221020201022022122121
4102312201330033310
5312424002020040
613144341005324
71314423013501
oct226641741764
957221268577
1020242220020
118648229560
123b0b0b3844
131ba79250a9
14da05384a8
157d7164c4a
hex4b687c3f4

20242220020 has 96 divisors (see below), whose sum is σ = 46930980096. Its totient is φ = 7272576000.

The previous prime is 20242219997. The next prime is 20242220021. The reversal of 20242220020 is 2002224202.

It is a junction number, because it is equal to n+sod(n) for n = 20242219976 and 20242220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19042009 + ... + 19043071.

It is an arithmetic number, because the mean of its divisors is an integer number (488864376).

Almost surely, 220242220020 is an apocalyptic number.

20242220020 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 20242220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23465490048).

20242220020 is an abundant number, since it is smaller than the sum of its proper divisors (26688760076).

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

20242220020 is a wasteful number, since it uses less digits than its factorization.

20242220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20242220020 its reverse (2002224202), we get a palindrome (22244444222).

The spelling of 20242220020 in words is "twenty billion, two hundred forty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 857 1010 1063 1111 1714 2020 2126 2222 3428 4252 4285 4444 5315 5555 8570 9427 10630 11110 11693 17140 18854 21260 22220 23386 37708 46772 47135 58465 86557 94270 107363 116930 173114 188540 214726 233860 346228 429452 432785 536815 865570 910991 952127 1073630 1180993 1731140 1821982 1904254 2147260 2361986 3643964 3808508 4554955 4723972 4760635 5904965 9109910 9521270 10020901 11809930 18219820 19042540 20041802 23619860 40083604 50104505 92010091 100209010 184020182 200418020 368040364 460050455 920100910 1012111001 1840201820 2024222002 4048444004 5060555005 10121110010 20242220020