Search a number
-
+
2165228728 = 2313315911383
BaseRepresentation
bin1000000100001110…
…1100010010111000
312120220021000102121
42001003230102320
513413244304403
6554504211024
7104441066125
oct20103542270
95526230377
102165228728
11a11240433
12505169a74
13286778a40
141677c974c
15ca14e3bd
hex810ec4b8

2165228728 has 64 divisors (see below), whose sum is σ = 4590028800. Its totient is φ = 950624640.

The previous prime is 2165228701. The next prime is 2165228731. The reversal of 2165228728 is 8278225612.

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, 184525 + ... + 195907.

It is an arithmetic number, because the mean of its divisors is an integer number (71719200).

Almost surely, 22165228728 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 2165228728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295014400).

2165228728 is an abundant number, since it is smaller than the sum of its proper divisors (2424800072).

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

2165228728 is a wasteful number, since it uses less digits than its factorization.

2165228728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11492 (or 11488 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 2165228728 is about 46532.0183099766. The cubic root of 2165228728 is about 1293.7030247112.

The spelling of 2165228728 in words is "two billion, one hundred sixty-five million, two hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 31 52 59 62 104 118 124 236 248 403 472 767 806 1534 1612 1829 3068 3224 3658 6136 7316 11383 14632 22766 23777 45532 47554 91064 95108 147979 190216 295958 352873 591916 671597 705746 1183832 1343194 1411492 2686388 2822984 4587349 5372776 8730761 9174698 17461522 18349396 20819507 34923044 36698792 41639014 69846088 83278028 166556056 270653591 541307182 1082614364 2165228728