Search a number
-
+
2168345300 = 2252115573539
BaseRepresentation
bin1000000100111110…
…0101001011010100
312121010010100120012
42001033211023110
513420044022200
6555055055352
7104506426262
oct20117451324
95533110505
102168345300
11a12a79a10
12506211558
132872ca474
14167d9b432
15ca567a35
hex813e52d4

2168345300 has 72 divisors (see below), whose sum is σ = 5143733280. Its totient is φ = 786851200.

The previous prime is 2168345293. The next prime is 2168345323. The reversal of 2168345300 is 35438612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610931 + ... + 614469.

It is an arithmetic number, because the mean of its divisors is an integer number (71440740).

Almost surely, 22168345300 is an apocalyptic number.

2168345300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168345300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571866640).

2168345300 is an abundant number, since it is smaller than the sum of its proper divisors (2975387980).

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

2168345300 is a wasteful number, since it uses less digits than its factorization.

2168345300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2168345300 is about 46565.4947359093. The cubic root of 2168345300 is about 1294.3234342531.

The spelling of 2168345300 in words is "two billion, one hundred sixty-eight million, three hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 557 1100 1114 2228 2785 3539 5570 6127 7078 11140 12254 13925 14156 17695 24508 27850 30635 35390 38929 55700 61270 70780 77858 88475 122540 153175 155716 176950 194645 306350 353900 389290 612700 778580 973225 1946450 1971223 3892900 3942446 7884892 9856115 19712230 21683453 39424460 43366906 49280575 86733812 98561150 108417265 197122300 216834530 433669060 542086325 1084172650 2168345300