Search a number
-
+
2140224210 = 2325233310193
BaseRepresentation
bin111111110010001…
…0011101011010010
312112011012122200100
41333210103223102
513340344133320
6552212233230
7104015414505
oct17744235322
95464178610
102140224210
119a9112143
124b890b816
13281532777
1416435b13c
15c7d60790
hex7f913ad2

2140224210 has 48 divisors (see below), whose sum is σ = 5567514264. Its totient is φ = 570425856.

The previous prime is 2140224209. The next prime is 2140224241. The reversal of 2140224210 is 124220412.

2140224210 is a `hidden beast` number, since 21 + 402 + 242 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1764756081 + 375468129 = 42009^2 + 19377^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204874 + ... + 215066.

Almost surely, 22140224210 is an apocalyptic number.

2140224210 is an abundant number, since it is smaller than the sum of its proper divisors (3427290054).

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

2140224210 is a wasteful number, since it uses less digits than its factorization.

2140224210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12536 counting only the distinct ones).

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

The square root of 2140224210 is about 46262.5573223098. The cubic root of 2140224210 is about 1288.7037456709.

Adding to 2140224210 its reverse (124220412), we get a palindrome (2264444622).

The spelling of 2140224210 in words is "two billion, one hundred forty million, two hundred twenty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2333 4666 6999 10193 11665 13998 20386 20997 23330 30579 34995 41994 50965 61158 69990 91737 101930 104985 152895 183474 209970 305790 458685 917370 23780269 47560538 71340807 118901345 142681614 214022421 237802690 356704035 428044842 713408070 1070112105 2140224210