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20224113300 = 22325222471237
BaseRepresentation
bin10010110101011100…
…110111101010010100
31221012110020101220100
4102311130313222110
5312404333111200
613142452534100
71314113061306
oct226534675224
957173211810
1020224113300
118638a91726
123b05021330
131ba3c55661
14d9bd83976
157d5789d00
hex4b5737a94

20224113300 has 54 divisors (see below), whose sum is σ = 63391362398. Its totient is φ = 5393096640.

The previous prime is 20224113289. The next prime is 20224113307. The reversal of 20224113300 is 331142202.

It can be written as a sum of positive squares in 3 ways, for example, as 5808268944 + 14415844356 = 76212^2 + 120066^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20224113307) 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 17 ways as a sum of consecutive naturals, for example, 11234719 + ... + 11236518.

Almost surely, 220224113300 is an apocalyptic number.

20224113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20224113300 is an abundant number, since it is smaller than the sum of its proper divisors (43167249098).

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

20224113300 is a wasteful number, since it uses less digits than its factorization.

20224113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22471257 (or 22471247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20224113300 its reverse (331142202), we get a palindrome (20555255502).

The spelling of 20224113300 in words is "twenty billion, two hundred twenty-four million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22471237 44942474 67413711 89884948 112356185 134827422 202241133 224712370 269654844 337068555 404482266 449424740 561780925 674137110 808964532 1011205665 1123561850 1348274220 1685342775 2022411330 2247123700 3370685550 4044822660 5056028325 6741371100 10112056650 20224113300