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2000141856 = 25331937289
BaseRepresentation
bin111011100110111…
…1011111000100000
312011101121201211000
41313031323320200
513044014014411
6530245552000
7100364632236
oct16715737040
95141551730
102000141856
119370341a9
12479a15600
1325b4c6abb
1414d8d4956
15ba8de956
hex7737be20

2000141856 has 288 divisors, whose sum is σ = 6382152000. Its totient is φ = 607647744.

The previous prime is 2000141839. The next prime is 2000141873. The reversal of 2000141856 is 6581410002.

It is an interprime number because it is at equal distance from previous prime (2000141839) and next prime (2000141873).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22473460 + ... + 22473548.

It is an arithmetic number, because the mean of its divisors is an integer number (22160250).

Almost surely, 22000141856 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 2000141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191076000).

2000141856 is an abundant number, since it is smaller than the sum of its proper divisors (4382010144).

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

2000141856 is a wasteful number, since it uses less digits than its factorization.

2000141856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2000141856 is about 44722.9455201690. The cubic root of 2000141856 is about 1259.9508370840.

Adding to 2000141856 its reverse (6581410002), we get a palindrome (8581551858).

The spelling of 2000141856 in words is "two billion, one hundred forty-one thousand, eight hundred fifty-six".