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212443664620 = 2251143101222347
BaseRepresentation
bin1100010111011010100…
…0010001000011101100
3202022100120020100021211
43011312220101003230
511440041034231440
6241332325004204
721230360232415
oct3056650210354
9668316210254
10212443664620
1182107a01650
123520ab53664
1317058372b35
14a3d49cc80c
1557d5b30eea
hex3176a110ec

212443664620 has 96 divisors (see below), whose sum is σ = 502940503296. Its totient is φ = 74708256000.

The previous prime is 212443664617. The next prime is 212443664701. The reversal of 212443664620 is 26466344212.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844287 + ... + 1066633.

It is an arithmetic number, because the mean of its divisors is an integer number (5238963576).

Almost surely, 2212443664620 is an apocalyptic number.

212443664620 is a gapful number since it is divisible by the number (20) 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 212443664620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251470251648).

212443664620 is an abundant number, since it is smaller than the sum of its proper divisors (290496838676).

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

212443664620 is a wasteful number, since it uses less digits than its factorization.

212443664620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222511 (or 222509 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 212443664620 in words is "two hundred twelve billion, four hundred forty-three million, six hundred sixty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 101 110 172 202 215 220 404 430 473 505 860 946 1010 1111 1892 2020 2222 2365 4343 4444 4730 5555 8686 9460 11110 17372 21715 22220 43430 47773 86860 95546 191092 222347 238865 444694 477730 889388 955460 1111735 2223470 2445817 4446940 4891634 9560921 9783268 12229085 19121842 22457047 24458170 38243684 44914094 47804605 48916340 89828188 95609210 105170131 112285235 191218420 210340262 224570470 247027517 420680524 449140940 494055034 525850655 965653021 988110068 1051701310 1235137585 1931306042 2103402620 2470275170 3862612084 4828265105 4940550340 9656530210 10622183231 19313060420 21244366462 42488732924 53110916155 106221832310 212443664620