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220434947512 = 231310924180687
BaseRepresentation
bin1100110101001011110…
…0100101110110111000
3210001222111020120120021
43031102330211312320
512102422321310022
6245133313540224
721632404065313
oct3152274456670
9701874216507
10220434947512
118553886577a
123687b274674
1317a2cb532b0
14a95206797a
155b024a87c7
hex3352f25db8

220434947512 has 64 divisors (see below), whose sum is σ = 451062057600. Its totient is φ = 100386293760.

The previous prime is 220434947497. The next prime is 220434947531. The reversal of 220434947512 is 215749434022.

220434947512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2691633 + ... + 2772319.

It is an arithmetic number, because the mean of its divisors is an integer number (7047844650).

Almost surely, 2220434947512 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 220434947512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225531028800).

220434947512 is an abundant number, since it is smaller than the sum of its proper divisors (230627110088).

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

220434947512 is a wasteful number, since it uses less digits than its factorization.

220434947512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81056 (or 81052 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 220434947512 in words is "two hundred twenty billion, four hundred thirty-four million, nine hundred forty-seven thousand, five hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 109 218 241 436 482 872 964 1417 1928 2834 3133 5668 6266 11336 12532 25064 26269 52538 80687 105076 161374 210152 322748 341497 645496 682994 1048931 1365988 2097862 2731976 4195724 8391448 8794883 17589766 19445567 35179532 38891134 70359064 77782268 114333479 155564536 228666958 252792371 457333916 505584742 914667832 1011169484 2022338968 2119566803 4239133606 8478267212 16956534424 27554368439 55108736878 110217473756 220434947512