Search a number
-
+
30220020 = 22335191293
BaseRepresentation
bin111001101000…
…1111011110100
32002212100002000
41303101323310
530214020040
62555415300
7514603005
oct163217364
962770060
1030220020
1116070826
12a154530
13635118c
1440291ac
1529be130
hex1cd1ef4

30220020 has 96 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 7989120.

The previous prime is 30220007. The next prime is 30220049. The reversal of 30220020 is 2002203.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30219984 and 30220011.

It is a congruent number.

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, 102994 + ... + 103286.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 230220020 is an apocalyptic number.

30220020 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 30220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

30220020 is an abundant number, since it is smaller than the sum of its proper divisors (64612620).

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

30220020 is a wasteful number, since it uses less digits than its factorization.

30220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 30220020 is about 5497.2738698377. The cubic root of 30220020 is about 311.4810158932.

Adding to 30220020 its reverse (2002203), we get a palindrome (32222223).

The spelling of 30220020 in words is "thirty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 191 270 293 382 540 573 586 764 879 955 1146 1172 1465 1719 1758 1910 2292 2637 2865 2930 3438 3516 3820 4395 5157 5274 5730 5860 6876 7911 8595 8790 10314 10548 11460 13185 15822 17190 17580 20628 25785 26370 31644 34380 39555 51570 52740 55963 79110 103140 111926 158220 167889 223852 279815 335778 503667 559630 671556 839445 1007334 1119260 1511001 1678890 2014668 2518335 3022002 3357780 5036670 6044004 7555005 10073340 15110010 30220020