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20424334224 = 2437565310753
BaseRepresentation
bin10011000001011000…
…101001101110010000
31221201101222200101010
4103001120221232100
5313312112143344
613214404210520
71322063655630
oct230130515620
957641880333
1020424334224
118731005668
123b60099a40
131c06589388
14dba7c26c0
157e81398b9
hex4c1629b90

20424334224 has 80 divisors (see below), whose sum is σ = 60316691072. Its totient is φ = 5833949184.

The previous prime is 20424334181. The next prime is 20424334277. The reversal of 20424334224 is 42243342402.

It is a junction number, because it is equal to n+sod(n) for n = 20424334191 and 20424334200.

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, 1894032 + ... + 1904784.

Almost surely, 220424334224 is an apocalyptic number.

20424334224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20424334224 is an abundant number, since it is smaller than the sum of its proper divisors (39892356848).

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

20424334224 is a wasteful number, since it uses less digits than its factorization.

20424334224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16424 (or 16418 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 20424334224 its reverse (42243342402), we get a palindrome (62667676626).

The spelling of 20424334224 in words is "twenty billion, four hundred twenty-four million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5653 10753 11306 16959 21506 22612 32259 33918 39571 43012 45224 64518 67836 75271 79142 86024 90448 118713 129036 135672 150542 158284 172048 225813 237426 258072 271344 301084 316568 451626 474852 516144 602168 633136 903252 949704 1204336 1806504 1899408 3613008 60786709 121573418 182360127 243146836 364720254 425506963 486293672 729440508 851013926 972587344 1276520889 1458881016 1702027852 2553041778 2917762032 3404055704 5106083556 6808111408 10212167112 20424334224