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2000343224 = 23111031991109
BaseRepresentation
bin111011100111010…
…1101000010111000
312011101222222001002
41313032231002320
513044041440344
6530254144132
7100366431305
oct16716550270
95141888032
102000343224
11937161520
12479ab2048
1325b567659
1414d9480ac
15ba92e44e
hex773ad0b8

2000343224 has 64 divisors (see below), whose sum is σ = 4155840000. Its totient is φ = 895086720.

The previous prime is 2000343217. The next prime is 2000343251. The reversal of 2000343224 is 4223430002.

It is a junction number, because it is equal to n+sod(n) for n = 2000343196 and 2000343205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803182 + ... + 1804290.

It is an arithmetic number, because the mean of its divisors is an integer number (64935000).

Almost surely, 22000343224 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 2000343224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077920000).

2000343224 is an abundant number, since it is smaller than the sum of its proper divisors (2155496776).

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

2000343224 is a wasteful number, since it uses less digits than its factorization.

2000343224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2000343224 is about 44725.1967463532. The cubic root of 2000343224 is about 1259.9931182962.

Adding to 2000343224 its reverse (4223430002), we get a palindrome (6223773226).

The spelling of 2000343224 in words is "two billion, three hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 103 199 206 398 412 796 824 1109 1133 1592 2189 2218 2266 4378 4436 4532 8756 8872 9064 12199 17512 20497 24398 40994 48796 81988 97592 114227 163976 220691 225467 228454 441382 450934 456908 882764 901868 913816 1256497 1765528 1803736 2427601 2512994 4855202 5025988 9710404 10051976 19420808 22731173 45462346 90924692 181849384 250042903 500085806 1000171612 2000343224