Search a number
-
+
220200320320 = 2654116783561
BaseRepresentation
bin1100110100010011110…
…1100011110101000000
3210001101010202021120021
43031010331203311000
512101432240222240
6245054133023224
721623524561111
oct3150475436500
9701333667507
10220200320320
1185428381902
1236814784b14
13179c3363b36
14a92cc30208
155adbaae54a
hex3344f63d40

220200320320 has 56 divisors (see below), whose sum is σ = 537141118248. Its totient is φ = 85931827200.

The previous prime is 220200320311. The next prime is 220200320339. The reversal of 220200320320 is 23023002022.

It can be written as a sum of positive squares in 4 ways, for example, as 674337024 + 219525983296 = 25968^2 + 468536^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 220200320294 and 220200320303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8378661 + ... + 8404900.

It is an arithmetic number, because the mean of its divisors is an integer number (9591805683).

Almost surely, 2220200320320 is an apocalyptic number.

220200320320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220200320320 is an abundant number, since it is smaller than the sum of its proper divisors (316940797928).

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

220200320320 is a wasteful number, since it uses less digits than its factorization.

220200320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16783619 (or 16783609 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 220200320320 its reverse (23023002022), we get a palindrome (243223322342).

The spelling of 220200320320 in words is "two hundred twenty billion, two hundred million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 16783561 33567122 67134244 83917805 134268488 167835610 268536976 335671220 537073952 671342440 688126001 1074147904 1342684880 1376252002 2685369760 2752504004 3440630005 5370739520 5505008008 6881260010 11010016016 13762520020 22020032032 27525040040 44040064064 55050080080 110100160160 220200320320