Search a number
-
+
220320321232 = 241117311923609
BaseRepresentation
bin1100110100110000011…
…1010100111011010000
3210001200111112221212111
43031030013110323100
512102204000234412
6245114101035104
721626512555024
oct3151407247320
9701614487774
10220320321232
118548a094310
12368489b5a94
1317a1218b2ab
14a940b4a384
155ae73b52a7
hex334c1d4ed0

220320321232 has 80 divisors (see below), whose sum is σ = 493248787200. Its totient is φ = 94220472320.

The previous prime is 220320321209. The next prime is 220320321313. The reversal of 220320321232 is 232123023022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9320244 + ... + 9343852.

It is an arithmetic number, because the mean of its divisors is an integer number (6165609840).

Almost surely, 2220320321232 is an apocalyptic number.

220320321232 is a gapful number since it is divisible by the number (22) 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 220320321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246624393600).

220320321232 is an abundant number, since it is smaller than the sum of its proper divisors (272928465968).

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

220320321232 is a wasteful number, since it uses less digits than its factorization.

220320321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26764 (or 26758 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 220320321232 its reverse (232123023022), we get a palindrome (452443344254).

The spelling of 220320321232 in words is "two hundred twenty billion, three hundred twenty million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 3119 6238 12476 23609 24952 34309 47218 49904 53023 68618 94436 106046 137236 188872 212092 259699 274472 377744 401353 424184 519398 548944 583253 802706 848368 1038796 1166506 1605412 2077592 2333012 3210824 4155184 4414883 4666024 6421648 8829766 9332048 17659532 35319064 70638128 73636471 147272942 294545884 589091768 810001181 1178183536 1251820007 1620002362 2503640014 3240004724 5007280028 6480009448 10014560056 12960018896 13770020077 20029120112 27540040154 55080080308 110160160616 220320321232