Search a number
-
+
2124200142 = 232433449607
BaseRepresentation
bin111111010011100…
…1011100011001110
312111001001112210100
41332213023203032
513322243401032
6550440551530
7103432255221
oct17647134316
95431045710
102124200142
119a0068009
124b34825a6
1327b111c7c
141621895b8
15c674797c
hex7e9cb8ce

2124200142 has 48 divisors (see below), whose sum is σ = 4630953600. Its totient is φ = 703696896.

The previous prime is 2124200137. The next prime is 2124200147. The reversal of 2124200142 is 2410024212.

It is an interprime number because it is at equal distance from previous prime (2124200137) and next prime (2124200147).

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 (2124200147) 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 23 ways as a sum of consecutive naturals, for example, 3499203 + ... + 3499809.

It is an arithmetic number, because the mean of its divisors is an integer number (96478200).

Almost surely, 22124200142 is an apocalyptic number.

2124200142 is an abundant number, since it is smaller than the sum of its proper divisors (2506753458).

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

2124200142 is a wasteful number, since it uses less digits than its factorization.

2124200142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2124200142 is about 46089.0457918148. The cubic root of 2124200142 is about 1285.4794684076.

Adding to 2124200142 its reverse (2410024212), we get a palindrome (4534224354).

The spelling of 2124200142 in words is "two billion, one hundred twenty-four million, two hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 433 449 607 866 898 1214 1299 1347 1821 2598 2694 3642 3897 4041 5463 7794 8082 10926 194417 262831 272543 388834 525662 545086 583251 788493 817629 1166502 1576986 1635258 1749753 2365479 2452887 3499506 4730958 4905774 118011119 236022238 354033357 708066714 1062100071 2124200142