Search a number
-
+
2001424302 = 2372511823
BaseRepresentation
bin111011101001011…
…0100111110101110
312011111000220000000
41313102310332232
513044331034202
6530333245130
7100411553163
oct16722647656
95144026000
102001424302
1193782a779
1247a3337a6
1325b855747
1414db4a06a
15baa9491c
hex774b4fae

2001424302 has 64 divisors (see below), whose sum is σ = 4522936320. Its totient is φ = 664119000.

The previous prime is 2001424279. The next prime is 2001424309. The reversal of 2001424302 is 2034241002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001424309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096963 + ... + 1098785.

It is an arithmetic number, because the mean of its divisors is an integer number (70670880).

Almost surely, 22001424302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001424302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261468160).

2001424302 is an abundant number, since it is smaller than the sum of its proper divisors (2521512018).

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

2001424302 is an equidigital number, since it uses as much as digits as its factorization.

2001424302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2079 counting only the distinct ones).

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

The square root of 2001424302 is about 44737.2808963620. The cubic root of 2001424302 is about 1260.2200636037.

Adding to 2001424302 its reverse (2034241002), we get a palindrome (4035665304).

The spelling of 2001424302 in words is "two billion, one million, four hundred twenty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 251 486 502 729 753 1458 1506 1823 2187 2259 3646 4374 4518 5469 6777 10938 13554 16407 20331 32814 40662 49221 60993 98442 121986 147663 182979 295326 365958 442989 457573 548937 885978 915146 1097874 1328967 1372719 2657934 2745438 3986901 4118157 7973802 8236314 12354471 24708942 37063413 74126826 111190239 222380478 333570717 667141434 1000712151 2001424302