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20430232224 = 2534716327779
BaseRepresentation
bin10011000001101111…
…001001101010100000
31221201211002022220120
4103001233021222200
5313320114412344
613215134440240
71322165052153
oct230157115240
957654068816
1020430232224
118734373946
123b62063080
131c07872b0c
14dbb4b9c9a
157e8902219
hex4c1bc9aa0

20430232224 has 96 divisors (see below), whose sum is σ = 55108408320. Its totient is φ = 6624052992.

The previous prime is 20430232217. The next prime is 20430232231. The reversal of 20430232224 is 42223203402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20430232217) and next prime (20430232231).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20430232194 and 20430232203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721567 + ... + 749345.

It is an arithmetic number, because the mean of its divisors is an integer number (574045920).

Almost surely, 220430232224 is an apocalyptic number.

20430232224 is a gapful number since it is divisible by the number (24) 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 20430232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27554204160).

20430232224 is an abundant number, since it is smaller than the sum of its proper divisors (34678176096).

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

20430232224 is a wasteful number, since it uses less digits than its factorization.

20430232224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28002 (or 27994 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20430232224 its reverse (42223203402), we get a palindrome (62653435626).

The spelling of 20430232224 in words is "twenty billion, four hundred thirty million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 163 188 282 326 376 489 564 652 752 978 1128 1304 1504 1956 2256 2608 3912 4512 5216 7661 7824 15322 15648 22983 27779 30644 45966 55558 61288 83337 91932 111116 122576 166674 183864 222232 245152 333348 367728 444464 666696 735456 888928 1305613 1333392 2611226 2666784 3916839 4527977 5222452 7833678 9055954 10444904 13583931 15667356 18111908 20889808 27167862 31334712 36223816 41779616 54335724 62669424 72447632 108671448 125338848 144895264 212814919 217342896 425629838 434685792 638444757 851259676 1276889514 1702519352 2553779028 3405038704 5107558056 6810077408 10215116112 20430232224