Search a number
-
+
220492228356 = 223419213732
BaseRepresentation
bin1100110101011001011…
…1000110011100000100
3210002010111000202010000
43031112113012130010
512103032002301411
6245143121401300
721634001006001
oct3152627063404
9702114022100
10220492228356
1185568129714
1236896499230
1317a3b98a69a
14a9598d88a8
155b07520956
hex33565c6704

220492228356 has 135 divisors (see below), whose sum is σ = 608787723621. Its totient is φ = 69578411616.

The previous prime is 220492228351. The next prime is 220492228357. The reversal of 220492228356 is 653822294022.

The square root of 220492228356 is 469566.

It is a perfect power (a square), and thus also a powerful number.

220492228356 is a `hidden beast` number, since 2 + 204 + 92 + 2 + 2 + 8 + 356 = 666.

It can be written as a sum of positive squares in only one way, i.e., 217930248900 + 2561979456 = 466830^2 + 50616^2 .

It is not an unprimeable number, because it can be changed into a prime (220492228351) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 160590886 + ... + 160592258.

Almost surely, 2220492228356 is an apocalyptic number.

220492228356 is the 469566-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220492228356

220492228356 is an abundant number, since it is smaller than the sum of its proper divisors (388295495265).

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

220492228356 is an equidigital number, since it uses as much as digits as its factorization.

220492228356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 220492228356 in words is "two hundred twenty billion, four hundred ninety-two million, two hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1373 1444 1539 2052 2166 2746 3078 3249 4119 4332 5492 6156 6498 8238 9747 12357 12996 16476 19494 24714 26087 29241 37071 38988 49428 52174 58482 74142 78261 104348 111213 116964 148284 156522 222426 234783 313044 444852 469566 495653 704349 939132 991306 1408698 1486959 1885129 1982612 2113047 2817396 2973918 3770258 4226094 4460877 5655387 5947836 7540516 8452188 8921754 11310774 13382631 16966161 17843508 22621548 26765262 33932322 35817451 40147893 50898483 53530524 67864644 71634902 80295786 101796966 107452353 143269804 152695449 160591572 203593932 214904706 305390898 322357059 429809412 610781796 644714118 680531569 967071177 1289428236 1361063138 1934142354 2041594707 2722126276 2901213531 3868284708 4083189414 5802427062 6124784121 8166378828 11604854124 12249568242 18374352363 24499136484 36748704726 55123057089 73497409452 110246114178 220492228356