Search a number
-
+
2002024343000 = 2353117314471723
BaseRepresentation
bin11101001000100001111…
…100110010010111011000
321002101120112000010111202
4131020201330302113120
5230300121212434000
64131414533413332
7264433013064503
oct35104174622730
97071515003452
102002024343000
11702065604730
12284009a9a248
13116a36a82876
146cc8168413a
1537125a9cdd5
hex1d221f325d8

2002024343000 has 256 divisors, whose sum is σ = 5187219747840. Its totient is φ = 717123456000.

The previous prime is 2002024342987. The next prime is 2002024343003. The reversal of 2002024343000 is 3434202002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002024343003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161940139 + ... + 1161941861.

It is an arithmetic number, because the mean of its divisors is an integer number (20262577140).

Almost surely, 22002024343000 is an apocalyptic number.

2002024343000 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 2002024343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593609873920).

2002024343000 is an abundant number, since it is smaller than the sum of its proper divisors (3185195404840).

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

2002024343000 is a wasteful number, since it uses less digits than its factorization.

2002024343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3261 counting only the distinct ones).

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

Adding to 2002024343000 its reverse (3434202002), we get a palindrome (2005458545002).

The spelling of 2002024343000 in words is "two trillion, two billion, twenty-four million, three hundred forty-three thousand".