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2220310016 = 298874889
BaseRepresentation
bin1000010001010111…
…0011111000000000
312201201220102202022
42010111303320000
514021344410031
61004152541012
7106010216021
oct20425637000
95651812668
102220310016
11a3a341861
1251b6b1768
13294cc2c12
14170c46c48
15cedce97b
hex84573e00

2220310016 has 40 divisors (see below), whose sum is σ = 4442193360. Its totient is φ = 1108676608.

The previous prime is 2220310013. The next prime is 2220310039. The reversal of 2220310016 is 6100130222.

It is a junction number, because it is equal to n+sod(n) for n = 2220309976 and 2220310003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220310013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 451700 + ... + 456588.

It is an arithmetic number, because the mean of its divisors is an integer number (111054834).

Almost surely, 22220310016 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 2220310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221096680).

2220310016 is an abundant number, since it is smaller than the sum of its proper divisors (2221883344).

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

2220310016 is an frugal number, since it uses more digits than its factorization.

2220310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2220310016 is about 47120.1657042927. The cubic root of 2220310016 is about 1304.5814712638.

Adding to 2220310016 its reverse (6100130222), we get a palindrome (8320440238).

The spelling of 2220310016 in words is "two billion, two hundred twenty million, three hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 887 1774 3548 4889 7096 9778 14192 19556 28384 39112 56768 78224 113536 156448 227072 312896 454144 625792 1251584 2503168 4336543 8673086 17346172 34692344 69384688 138769376 277538752 555077504 1110155008 2220310016