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2001044000 = 25535961139
BaseRepresentation
bin111011101000101…
…1000001000100000
312011110022120022202
41313101120020200
513044231402000
6530321152332
7100405410344
oct16721301040
95143276282
102001044000
1193759aa7a
1247a18b6a8
1325b751607
1414da8b624
15baa1bdd5
hex77458220

2001044000 has 192 divisors, whose sum is σ = 5118422400. Its totient is φ = 768384000.

The previous prime is 2001043981. The next prime is 2001044011. The reversal of 2001044000 is 4401002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14395931 + ... + 14396069.

It is an arithmetic number, because the mean of its divisors is an integer number (26658450).

Almost surely, 22001044000 is an apocalyptic number.

2001044000 is a gapful number since it is divisible by the number (20) 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 2001044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559211200).

2001044000 is an abundant number, since it is smaller than the sum of its proper divisors (3117378400).

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

2001044000 is a wasteful number, since it uses less digits than its factorization.

2001044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2001044000 is about 44733.0303020039. The cubic root of 2001044000 is about 1260.1402380232.

Adding to 2001044000 its reverse (4401002), we get a palindrome (2005445002).

The spelling of 2001044000 in words is "two billion, one million, forty-four thousand".