[go: up one dir, main page]

Search a number
-
+
2000243214 = 23353701997
BaseRepresentation
bin111011100111001…
…0100101000001110
312011101210212212000
41313032110220032
513044030240324
6530252053130
7100365533604
oct16716245016
95141725760
102000243214
119370a3372
12479a641a6
1325b530c88
1414d91d874
15ba90e9c9
hex77394a0e

2000243214 has 64 divisors (see below), whose sum is σ = 4539862080. Its totient is φ = 652579200.

The previous prime is 2000243209. The next prime is 2000243251. The reversal of 2000243214 is 4123420002.

2000243214 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

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, 2005764 + ... + 2006760.

It is an arithmetic number, because the mean of its divisors is an integer number (70935345).

Almost surely, 22000243214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000243214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269931040).

2000243214 is an abundant number, since it is smaller than the sum of its proper divisors (2539618866).

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

2000243214 is a wasteful number, since it uses less digits than its factorization.

2000243214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2000243214 is about 44724.0786825173. The cubic root of 2000243214 is about 1259.9721195645.

Adding to 2000243214 its reverse (4123420002), we get a palindrome (6123663216).

The spelling of 2000243214 in words is "two billion, two hundred forty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 701 954 997 1402 1431 1994 2103 2862 2991 4206 5982 6309 8973 12618 17946 18927 26919 37153 37854 52841 53838 74306 105682 111459 158523 222918 317046 334377 475569 668754 698897 951138 1003131 1397794 1426707 2006262 2096691 2853414 4193382 6290073 12580146 18870219 37041541 37740438 74083082 111124623 222249246 333373869 666747738 1000121607 2000243214