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284228730 = 23351795881
BaseRepresentation
bin10000111100001…
…111110001111010
3201210211022112000
4100330033301322
51040230304410
644112001430
710020622122
oct2074176172
9653738460
10284228730
11136492285
127b230276
1346b683a6
1429a69c82
1519e45dc0
hex10f0fc7a

284228730 has 64 divisors (see below), whose sum is σ = 762307200. Its totient is φ = 75358080.

The previous prime is 284228719. The next prime is 284228731. The reversal of 284228730 is 37822482.

284228730 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (284228731) 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, 45390 + ... + 51270.

It is an arithmetic number, because the mean of its divisors is an integer number (11911050).

Almost surely, 2284228730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284228730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381153600).

284228730 is an abundant number, since it is smaller than the sum of its proper divisors (478078470).

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

284228730 is a wasteful number, since it uses less digits than its factorization.

284228730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 284228730 is about 16859.0844947168. The cubic root of 284228730 is about 657.4902618710.

The spelling of 284228730 in words is "two hundred eighty-four million, two hundred twenty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 179 270 358 537 895 1074 1611 1790 2685 3222 4833 5370 5881 8055 9666 11762 16110 17643 24165 29405 35286 48330 52929 58810 88215 105858 158787 176430 264645 317574 529290 793935 1052699 1587870 2105398 3158097 5263495 6316194 9474291 10526990 15790485 18948582 28422873 31580970 47371455 56845746 94742910 142114365 284228730