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220389852312 = 233272103606493
BaseRepresentation
bin1100110101000001000…
…0100100010010011000
3210001212100101111120200
43031100100210102120
512102324300233222
6245125023222200
721631315556400
oct3152020442230
9701770344520
10220389852312
1185515365013
1236868147960
1317a236c4546
14a94a089800
155aed54beac
hex3350424498

220389852312 has 144 divisors (see below), whose sum is σ = 701082804240. Its totient is φ = 62357081472.

The previous prime is 220389852257. The next prime is 220389852313. The reversal of 220389852312 is 213258983022.

220389852312 is a `hidden beast` number, since 2 + 2 + 0 + 38 + 98 + 523 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220389852313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60138 + ... + 666630.

It is an arithmetic number, because the mean of its divisors is an integer number (4868630585).

Almost surely, 2220389852312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220389852312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350541402120).

220389852312 is an abundant number, since it is smaller than the sum of its proper divisors (480692951928).

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

220389852312 is a wasteful number, since it uses less digits than its factorization.

220389852312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606622 (or 606608 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 220389 and 852312, that added together give a palindrome (1072701).

The spelling of 220389852312 in words is "two hundred twenty billion, three hundred eighty-nine million, eight hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 103 126 147 168 196 206 252 294 309 392 412 441 504 588 618 721 824 882 927 1176 1236 1442 1764 1854 2163 2472 2884 3528 3708 4326 5047 5768 6489 7416 8652 10094 12978 15141 17304 20188 25956 30282 40376 45423 51912 60564 90846 121128 181692 363384 606493 1212986 1819479 2425972 3638958 4245451 4851944 5458437 7277916 8490902 10916874 12736353 14555832 16981804 21833748 25472706 29718157 33963608 38209059 43667496 50945412 59436314 62468779 76418118 89154471 101890824 118872628 124937558 152836236 178308942 187406337 237745256 249875116 267463413 305672472 356617884 374812674 437281453 499750232 534926826 562219011 713235768 749625348 874562906 1069853652 1124438022 1311844359 1499250696 1749125812 2139707304 2248876044 2623688718 3060970171 3498251624 3935533077 4497752088 5247377436 6121940342 7871066154 9182910513 10494754872 12243880684 15742132308 18365821026 24487761368 27548731539 31484264616 36731642052 55097463078 73463284104 110194926156 220389852312