Search a number
-
+
5322163000 = 235371169119
BaseRepresentation
bin1001111010011100…
…11100001100111000
3111201220120220010011
410331032130030320
541344433204000
62240040231304
7245613432130
oct47516341470
914656526104
105322163000
112291249920
12104646b534
1366a81949b
14386ba3ac0
152123922ba
hex13d39c338

5322163000 has 128 divisors (see below), whose sum is σ = 15527116800. Its totient is φ = 1658832000.

The previous prime is 5322162971. The next prime is 5322163003. The reversal of 5322163000 is 3612235.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5322163003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42441 + ... + 111559.

It is an arithmetic number, because the mean of its divisors is an integer number (121305600).

Almost surely, 25322163000 is an apocalyptic number.

5322163000 is a gapful number since it is divisible by the number (50) 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 5322163000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763558400).

5322163000 is an abundant number, since it is smaller than the sum of its proper divisors (10204953800).

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

5322163000 is a wasteful number, since it uses less digits than its factorization.

5322163000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69158 (or 69144 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 5322163000 is about 72953.1562031418. The cubic root of 5322163000 is about 1745.9403037777.

Adding to 5322163000 its reverse (3612235), we get a palindrome (5325775235).

The spelling of 5322163000 in words is "five billion, three hundred twenty-two million, one hundred sixty-three thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 69119 77000 138238 276476 345595 483833 552952 691190 760309 967666 1382380 1520618 1727975 1935332 2419165 2764760 3041236 3455950 3801545 3870664 4838330 5322163 6082472 6911900 7603090 8639875 9676660 10644326 12095825 13823800 15206180 17279750 19007725 19353320 21288652 24191650 26610815 30412360 34559500 38015450 42577304 48383300 53221630 60479125 69119000 76030900 95038625 96766600 106443260 120958250 133054075 152061800 190077250 212886520 241916500 266108150 380154500 483833000 532216300 665270375 760309000 1064432600 1330540750 2661081500 5322163000