Search a number
-
+
2143224001 = 372572877
BaseRepresentation
bin111111110111111…
…0000000011000001
312112100212001121201
41333233300003001
513342131132001
6552400421201
7104053050322
oct17757600301
95470761551
102143224001
119aa880a06
124b9917801
13282042ca9
141648dc449
15c8254501
hex7fbf00c1

2143224001 has 12 divisors (see below), whose sum is σ = 2212266748. Its totient is φ = 2074816512.

The previous prime is 2143223989. The next prime is 2143224049. The reversal of 2143224001 is 1004223412.

It can be written as a sum of positive squares in 6 ways, for example, as 1661377600 + 481846401 = 40760^2 + 21951^2 .

It is not a de Polignac number, because 2143224001 - 217 = 2143092929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2143224001.

It is not an unprimeable number, because it can be changed into a prime (2143222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2443375 + ... + 2444251.

Almost surely, 22143224001 is an apocalyptic number.

It is an amenable number.

2143224001 is a deficient number, since it is larger than the sum of its proper divisors (69042747).

2143224001 is an frugal number, since it uses more digits than its factorization.

2143224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2143224001 is about 46294.9673398740. The cubic root of 2143224001 is about 1289.3055575639.

Adding to 2143224001 its reverse (1004223412), we get a palindrome (3147447413).

The spelling of 2143224001 in words is "two billion, one hundred forty-three million, two hundred twenty-four thousand, one".

Divisors: 1 37 257 877 9509 32449 66049 225389 2443813 8339393 57924973 2143224001