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2000411224 = 237531076299
BaseRepresentation
bin111011100111011…
…1101101001011000
312011102010102022121
41313032331221120
513044101124344
6530255431024
7100400133460
oct16716755130
95142112277
102000411224
119371a8619
12479b25474
1325b58c5a6
1414d964ba0
15ba944684
hex773bda58

2000411224 has 64 divisors (see below), whose sum is σ = 4408992000. Its totient is φ = 833149824.

The previous prime is 2000411207. The next prime is 2000411239. The reversal of 2000411224 is 4221140002.

It is a junction number, because it is equal to n+sod(n) for n = 2000411198 and 2000411207.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 314427 + ... + 320725.

It is an arithmetic number, because the mean of its divisors is an integer number (68890500).

Almost surely, 22000411224 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 2000411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204496000).

2000411224 is an abundant number, since it is smaller than the sum of its proper divisors (2408580776).

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

2000411224 is a wasteful number, since it uses less digits than its factorization.

2000411224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2000411224 is about 44725.9569377783. The cubic root of 2000411224 is about 1260.0073956062.

Adding to 2000411224 its reverse (4221140002), we get a palindrome (6221551226).

The spelling of 2000411224 in words is "two billion, four hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 107 212 214 371 424 428 742 749 856 1484 1498 2968 2996 5671 5992 6299 11342 12598 22684 25196 39697 44093 45368 50392 79394 88186 158788 176372 317576 333847 352744 667694 673993 1335388 1347986 2336929 2670776 2695972 4673858 4717951 5391944 9347716 9435902 18695432 18871804 35721629 37743608 71443258 142886516 250051403 285773032 500102806 1000205612 2000411224