Search a number
-
+
2002240242 = 23337078523
BaseRepresentation
bin111011101010111…
…1100001011110010
312011112120100021000
41313111330023302
513100033141432
6530402542430
7100421522052
oct16725741362
95145510230
102002240242
11938237802
1247a667a16
1325ba7cc52
1414dcbd562
15baba657c
hex7757c2f2

2002240242 has 16 divisors (see below), whose sum is σ = 4449422880. Its totient is φ = 667413396.

The previous prime is 2002240241. The next prime is 2002240249. The reversal of 2002240242 is 2420422002.

2002240242 is a `hidden beast` number, since 200 + 22 + 402 + 42 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2002240241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18539208 + ... + 18539315.

It is an arithmetic number, because the mean of its divisors is an integer number (278088930).

Almost surely, 22002240242 is an apocalyptic number.

2002240242 is an abundant number, since it is smaller than the sum of its proper divisors (2447182638).

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

2002240242 is a wasteful number, since it uses less digits than its factorization.

2002240242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37078534 (or 37078528 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2002240242 is about 44746.3992070870. The cubic root of 2002240242 is about 1260.3912957033.

Adding to 2002240242 its reverse (2420422002), we get a palindrome (4422662244).

The spelling of 2002240242 in words is "two billion, two million, two hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 37078523 74157046 111235569 222471138 333706707 667413414 1001120121 2002240242