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20424222032 = 2431614331559
BaseRepresentation
bin10011000001011000…
…001110010101010000
31221201101202222110212
4103001120032111100
5313312100101112
613214401543252
71322063010554
oct230130162520
957641688425
1020424222032
118730a39345
123b60044b28
131c0654a2a6
14dba793864
157e8116522
hex4c160e550

20424222032 has 80 divisors (see below), whose sum is σ = 41640668160. Its totient is φ = 9692006400.

The previous prime is 20424222031. The next prime is 20424222053. The reversal of 20424222032 is 23022242402.

It is a super-2 number, since 2×204242220322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20424221989 and 20424222007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20424222031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13100069 + ... + 13101627.

It is an arithmetic number, because the mean of its divisors is an integer number (520508352).

Almost surely, 220424222032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20424222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820334080).

20424222032 is an abundant number, since it is smaller than the sum of its proper divisors (21216446128).

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

20424222032 is a wasteful number, since it uses less digits than its factorization.

20424222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 20424222032 its reverse (23022242402), we get a palindrome (43446464434).

The spelling of 20424222032 in words is "twenty billion, four hundred twenty-four million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 433 488 496 866 976 1559 1732 1891 3118 3464 3782 6236 6928 7564 12472 13423 15128 24944 26413 26846 30256 48329 52826 53692 95099 96658 105652 107384 190198 193316 211304 214768 380396 386632 422608 675047 760792 773264 818803 1350094 1521584 1637606 2700188 2948069 3275212 5400376 5896138 6550424 10800752 11792276 13100848 20926457 23584552 41177867 41852914 47169104 82355734 83705828 164711468 167411656 329422936 334823312 658845872 1276513877 2553027754 5106055508 10212111016 20424222032