Search a number
-
+
30203222220 = 2233586364811
BaseRepresentation
bin11100001000010000…
…001001100011001100
32212221220200122212000
4130020100021203030
5443324011102340
621513011512300
72116315103313
oct341020114314
985856618760
1030203222220
1111899a27986
125a2abb8690
132b04509c32
14166742927a
15bbb8bcd30
hex7084098cc

30203222220 has 96 divisors (see below), whose sum is σ = 94075914240. Its totient is φ = 8044735680.

The previous prime is 30203222219. The next prime is 30203222233. The reversal of 30203222220 is 2222230203.

30203222220 is a `hidden beast` number, since 302 + 0 + 322 + 22 + 20 = 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 = 30203222193 and 30203222202.

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, 433615 + ... + 498425.

It is an arithmetic number, because the mean of its divisors is an integer number (979957440).

Almost surely, 230203222220 is an apocalyptic number.

30203222220 is a gapful number since it is divisible by the number (30) 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 30203222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47037957120).

30203222220 is an abundant number, since it is smaller than the sum of its proper divisors (63872692020).

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

30203222220 is a wasteful number, since it uses less digits than its factorization.

30203222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65692 (or 65684 counting only the distinct ones).

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

Adding to 30203222220 its reverse (2222230203), we get a palindrome (32425452423).

The spelling of 30203222220 in words is "thirty billion, two hundred three million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 863 1726 2589 3452 4315 5178 7767 8630 10356 12945 15534 17260 23301 25890 31068 38835 46602 51780 64811 77670 93204 116505 129622 155340 194433 233010 259244 324055 388866 466020 583299 648110 777732 972165 1166598 1296220 1749897 1944330 2333196 2916495 3499794 3888660 5832990 6999588 8749485 11665980 17498970 34997940 55931893 111863786 167795679 223727572 279659465 335591358 503387037 559318930 671182716 838978395 1006774074 1118637860 1510161111 1677956790 2013548148 2516935185 3020322222 3355913580 5033870370 6040644444 7550805555 10067740740 15101611110 30203222220