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220143009636 = 223211271092
BaseRepresentation
bin1100110100000110001…
…0111011111101100100
3210001020010220121002100
43031001202323331210
512101323102302021
6245044324412100
721622230464424
oct3150142737544
9701203817070
10220143009636
11853a8a98500
12367b9547030
13179b4518ca4
14a925392484
155ad6a3d626
hex33418bbf64

220143009636 has 81 divisors (see below), whose sum is σ = 611746026073. Its totient is φ = 66700619040.

The previous prime is 220143009607. The next prime is 220143009637. The reversal of 220143009636 is 636900341022.

The square root of 220143009636 is 469194.

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

220143009636 is a `hidden beast` number, since 2 + 2 + 0 + 14 + 3 + 0 + 0 + 9 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31543891236 + 188599118400 = 177606^2 + 434280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220143009636.

It is not an unprimeable number, because it can be changed into a prime (220143009637) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30963250 + ... + 30970358.

Almost surely, 2220143009636 is an apocalyptic number.

220143009636 is the 469194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220143009636

220143009636 is an abundant number, since it is smaller than the sum of its proper divisors (391603016437).

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

220143009636 is an equidigital number, since it uses as much as digits as its factorization.

220143009636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14250 (or 7125 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 220143009636 by its sum of digits (36), we get a square (7925148346896 = 28151642).

220143009636 divided by its sum of digits (36) gives a square (6115083601 = 781992).

The spelling of 220143009636 in words is "two hundred twenty billion, one hundred forty-three million, nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 7109 14218 21327 28436 42654 63981 78199 85308 127962 156398 234597 255924 312796 469194 703791 860189 938388 1407582 1720378 2580567 2815164 3440756 5161134 7741701 10322268 15483402 30966804 50537881 101075762 151613643 202151524 303227286 454840929 555916691 606454572 909681858 1111833382 1667750073 1819363716 2223666764 3335500146 5003250219 6115083601 6671000292 10006500438 12230167202 18345250803 20013000876 24460334404 36690501606 55035752409 73381003212 110071504818 220143009636