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20415433224 = 2332956951551
BaseRepresentation
bin10011000000110110…
…101100101000001000
31221200210020110111110
4103000312230220020
5313302322330344
613213445330320
71321625214324
oct230066545010
957623213443
1020415433224
118726a8616a
123b591069a0
131c04790b04
14db9546984
157e747c3b9
hex4c0daca08

20415433224 has 64 divisors (see below), whose sum is σ = 52892352000. Its totient is φ = 6558809600.

The previous prime is 20415433219. The next prime is 20415433249. The reversal of 20415433224 is 42233451402.

It is a junction number, because it is equal to n+sod(n) for n = 20415433191 and 20415433200.

It is an unprimeable number.

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, 370249 + ... + 421799.

It is an arithmetic number, because the mean of its divisors is an integer number (826443000).

Almost surely, 220415433224 is an apocalyptic number.

20415433224 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 20415433224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26446176000).

20415433224 is an abundant number, since it is smaller than the sum of its proper divisors (32476918776).

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

20415433224 is a wasteful number, since it uses less digits than its factorization.

20415433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52158 (or 52154 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 20415433224 its reverse (42233451402), we get a palindrome (62648884626).

The spelling of 20415433224 in words is "twenty billion, four hundred fifteen million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 569 696 1138 1707 2276 3414 4552 6828 13656 16501 33002 49503 51551 66004 99006 103102 132008 154653 198012 206204 309306 396024 412408 618612 1237224 1494979 2989958 4484937 5979916 8969874 11959832 17939748 29332519 35879496 58665038 87997557 117330076 175995114 234660152 351990228 703980456 850643051 1701286102 2551929153 3402572204 5103858306 6805144408 10207716612 20415433224