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2424242220 = 2235376771613
BaseRepresentation
bin1001000001111111…
…0000000000101100
320020221122021010220
42100133300000230
514431101222340
61040315531340
7114034501401
oct22037600054
96227567126
102424242220
111034470074
12577a59b50
132c8325c6a
1418dd702a8
15e2c63ed0
hex907f002c

2424242220 has 96 divisors (see below), whose sum is σ = 6985960128. Its totient is φ = 627674112.

The previous prime is 2424242203. The next prime is 2424242231. The reversal of 2424242220 is 222424242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502134 + ... + 1503746.

It is an arithmetic number, because the mean of its divisors is an integer number (72770418).

Almost surely, 22424242220 is an apocalyptic number.

2424242220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492980064).

2424242220 is an abundant number, since it is smaller than the sum of its proper divisors (4561717908).

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

2424242220 is a wasteful number, since it uses less digits than its factorization.

2424242220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2424242220 is about 49236.5943176414. The cubic root of 2424242220 is about 1343.3587347020.

Adding to 2424242220 its reverse (222424242), we get a palindrome (2646666462).

The spelling of 2424242220 in words is "two billion, four hundred twenty-four million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 677 740 1110 1354 1613 2031 2220 2708 3226 3385 4062 4839 6452 6770 8065 8124 9678 10155 13540 16130 19356 20310 24195 25049 32260 40620 48390 50098 59681 75147 96780 100196 119362 125245 150294 179043 238724 250490 298405 300588 358086 375735 500980 596810 716172 751470 895215 1092001 1193620 1502940 1790430 2184002 3276003 3580860 4368004 5460005 6552006 10920010 13104012 16380015 21840020 32760030 40404037 65520060 80808074 121212111 161616148 202020185 242424222 404040370 484848444 606060555 808080740 1212121110 2424242220