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30220320420 = 22325198836351
BaseRepresentation
bin11100001001010001…
…010111111010100100
32220000002212100011200
4130021101113322210
5443342400223140
621514422202500
72116613325303
oct341121277244
986002770150
1030220320420
11118a8646024
125a34883430
132b07c15604
1416697da43a
15bbd149030
hex709457ea4

30220320420 has 72 divisors (see below), whose sum is σ = 96492963840. Its totient is φ = 7634606400.

The previous prime is 30220320371. The next prime is 30220320421. The reversal of 30220320420 is 2402302203.

30220320420 is a `hidden beast` number, since 3 + 0 + 220 + 3 + 20 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30220320393 and 30220320402.

It is not an unprimeable number, because it can be changed into a prime (30220320421) 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 23 ways as a sum of consecutive naturals, for example, 4414756 + ... + 4421595.

Almost surely, 230220320420 is an apocalyptic number.

30220320420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30220320420 is an abundant number, since it is smaller than the sum of its proper divisors (66272643420).

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

30220320420 is a wasteful number, since it uses less digits than its factorization.

30220320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836385 (or 8836380 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 30220320420 its reverse (2402302203), we get a palindrome (32622622623).

The spelling of 30220320420 in words is "thirty billion, two hundred twenty million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 8836351 17672702 26509053 35345404 44181755 53018106 79527159 88363510 106036212 132545265 159054318 167890669 176727020 265090530 318108636 335781338 397635795 503672007 530181060 671562676 795271590 839453345 1007344014 1511016021 1590543180 1678906690 2014688028 2518360035 3022032042 3357813380 5036720070 6044064084 7555080105 10073440140 15110160210 30220320420