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2242728930 = 2351338914783
BaseRepresentation
bin1000010110101101…
…0101001111100010
312210022002102201110
42011223111033202
514043114311210
61010313244150
7106401611211
oct20553251742
95708072643
102242728930
11a50a64492
12527103656
13299842350
14173c01078
15d1d5c420
hex85ad53e2

2242728930 has 64 divisors (see below), whose sum is σ = 5811886080. Its totient is φ = 550599936.

The previous prime is 2242728911. The next prime is 2242728931. The reversal of 2242728930 is 398272422.

2242728930 is digitally balanced in base 2, 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 (39).

It is not an unprimeable number, because it can be changed into a prime (2242728931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144319 + ... + 159101.

It is an arithmetic number, because the mean of its divisors is an integer number (90810720).

Almost surely, 22242728930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242728930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905943040).

2242728930 is an abundant number, since it is smaller than the sum of its proper divisors (3569157150).

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

2242728930 is a wasteful number, since it uses less digits than its factorization.

2242728930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15195.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2242728930 is about 47357.4590745745. The cubic root of 2242728930 is about 1308.9576483887.

The spelling of 2242728930 in words is "two billion, two hundred forty-two million, seven hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 389 390 778 1167 1945 2334 3890 5057 5835 10114 11670 14783 15171 25285 29566 30342 44349 50570 73915 75855 88698 147830 151710 192179 221745 384358 443490 576537 960895 1153074 1921790 2882685 5750587 5765370 11501174 17251761 28752935 34503522 57505870 74757631 86258805 149515262 172517610 224272893 373788155 448545786 747576310 1121364465 2242728930