Search a number
-
+
2424520230 = 2351131347683
BaseRepresentation
bin1001000010000011…
…0011111000100110
320020222011101111120
42100200303320212
514431134121410
61040325514410
7114040040046
oct22040637046
96228141446
102424520230
11103463aa30
12577b72a06
132c83c2672
14190003726
15e2cbb570
hex90833e26

2424520230 has 128 divisors (see below), whose sum is σ = 6581108736. Its totient is φ = 566332800.

The previous prime is 2424520181. The next prime is 2424520249. The reversal of 2424520230 is 320254242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2424520230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3549469 + ... + 3550151.

It is an arithmetic number, because the mean of its divisors is an integer number (51414912).

Almost surely, 22424520230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424520230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290554368).

2424520230 is an abundant number, since it is smaller than the sum of its proper divisors (4156588506).

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

2424520230 is a wasteful number, since it uses less digits than its factorization.

2424520230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2424520230 is about 49239.4174417204. The cubic root of 2424520230 is about 1343.4100844782.

Adding to 2424520230 its reverse (320254242), we get a palindrome (2744774472).

The spelling of 2424520230 in words is "two billion, four hundred twenty-four million, five hundred twenty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 347 465 682 683 694 930 1023 1041 1366 1705 1735 2046 2049 2082 3410 3415 3470 3817 4098 5115 5205 6830 7513 7634 10230 10245 10410 10757 11451 15026 19085 20490 21173 21514 22539 22902 32271 37565 38170 42346 45078 53785 57255 63519 64542 75130 105865 107570 112695 114510 118327 127038 161355 211730 225390 232903 236654 237001 317595 322710 354981 465806 474002 591635 635190 698709 709962 711003 1164515 1183270 1185005 1397418 1422006 1774905 2329030 2370010 2607011 3493545 3549810 3555015 5214022 6987090 7110030 7347031 7821033 13035055 14694062 15642066 22041093 26070110 36735155 39105165 44082186 73470310 78210330 80817341 110205465 161634682 220410930 242452023 404086705 484904046 808173410 1212260115 2424520230