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220114220848 = 241719311136951
BaseRepresentation
bin1100110011111111010…
…1000111011100110000
3210001011010201222021221
43030333311013130300
512101243220031343
6245041415354424
721621431002204
oct3147765073460
9701133658257
10220114220848
1185393815015
12367ab982a14
13179ab5793c2
14a92161ab04
155ad42535ed
hex333fd47730

220114220848 has 80 divisors (see below), whose sum is σ = 476855907840. Its totient is φ = 97815168000.

The previous prime is 220114220839. The next prime is 220114220849. The reversal of 220114220848 is 848022411022.

220114220848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (220114220849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1538773 + ... + 1675723.

It is an arithmetic number, because the mean of its divisors is an integer number (5960698848).

Almost surely, 2220114220848 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 220114220848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238427953920).

220114220848 is an abundant number, since it is smaller than the sum of its proper divisors (256741686992).

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

220114220848 is a wasteful number, since it uses less digits than its factorization.

220114220848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137306 (or 137300 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The spelling of 220114220848 in words is "two hundred twenty billion, one hundred fourteen million, two hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 311 323 622 646 1244 1292 2488 2584 4976 5168 5287 5909 10574 11818 21148 23636 42296 47272 84592 94544 100453 136951 200906 273902 401812 547804 803624 1095608 1607248 2191216 2328167 2602069 4656334 5204138 9312668 10408276 18625336 20816552 37250672 41633104 42591761 44235173 85183522 88470346 170367044 176940692 340734088 353881384 681468176 707762768 724059937 809243459 1448119874 1618486918 2896239748 3236973836 5792479496 6473947672 11584958992 12947895344 13757138803 27514277606 55028555212 110057110424 220114220848