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2430531220 = 2251317475351
BaseRepresentation
bin1001000011011110…
…1111011010010100
320021101110210000211
42100313233122110
514434203444340
61041102415204
7114142113565
oct22067573224
96241423024
102430531220
111037a76097
12579b91504
132c9718670
14190b2a16c
15e35a75ea
hex90def694

2430531220 has 48 divisors (see below), whose sum is σ = 5500914048. Its totient is φ = 896745600.

The previous prime is 2430531217. The next prime is 2430531227. The reversal of 2430531220 is 221350342.

It is a super-2 number, since 2×24305312202 = 11814964022789376800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2430531191 and 2430531200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430531227) 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 15 ways as a sum of consecutive naturals, for example, 451545 + ... + 456895.

It is an arithmetic number, because the mean of its divisors is an integer number (114602376).

Almost surely, 22430531220 is an apocalyptic number.

2430531220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430531220 is an abundant number, since it is smaller than the sum of its proper divisors (3070382828).

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

2430531220 is a wasteful number, since it uses less digits than its factorization.

2430531220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2430531220 is about 49300.4180509659. The cubic root of 2430531220 is about 1344.5193843941.

Adding to 2430531220 its reverse (221350342), we get a palindrome (2651881562).

The spelling of 2430531220 in words is "two billion, four hundred thirty million, five hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1747 3494 5351 6988 8735 10702 17470 21404 22711 26755 34940 45422 53510 69563 90844 107020 113555 139126 227110 278252 347815 454220 695630 1391260 9348197 18696394 37392788 46740985 93481970 121526561 186963940 243053122 486106244 607632805 1215265610 2430531220