[go: up one dir, main page]

Search a number
-
+
5322215000 = 23541915573
BaseRepresentation
bin1001111010011101…
…01000111001011000
3111201220200112110002
410331032220321120
541344441340000
62240041312132
7245614036544
oct47516507130
914656615402
105322215000
1122912849a3
121046495648
1366a83705b
14386bb8a24
152123a28d5
hex13d3a8e58

5322215000 has 80 divisors (see below), whose sum is σ = 12537486720. Its totient is φ = 2117360000.

The previous prime is 5322214993. The next prime is 5322215009. The reversal of 5322215000 is 5122235.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5322215009) 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 19 ways as a sum of consecutive naturals, for example, 952214 + ... + 957786.

It is an arithmetic number, because the mean of its divisors is an integer number (156718584).

Almost surely, 25322215000 is an apocalyptic number.

5322215000 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 5322215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268743360).

5322215000 is an abundant number, since it is smaller than the sum of its proper divisors (7215271720).

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

5322215000 is a wasteful number, since it uses less digits than its factorization.

5322215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5322215000 is about 72953.5125953507. The cubic root of 5322215000 is about 1745.9459899746.

Adding to 5322215000 its reverse (5122235), we get a palindrome (5327337235).

The spelling of 5322215000 in words is "five billion, three hundred twenty-two million, two hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 200 250 382 500 625 764 955 1000 1250 1528 1910 2500 3820 4775 5000 5573 7640 9550 11146 19100 22292 23875 27865 38200 44584 47750 55730 95500 111460 119375 139325 191000 222920 238750 278650 477500 557300 696625 955000 1064443 1114600 1393250 2128886 2786500 3483125 4257772 5322215 5573000 6966250 8515544 10644430 13932500 21288860 26611075 27865000 42577720 53222150 106444300 133055375 212888600 266110750 532221500 665276875 1064443000 1330553750 2661107500 5322215000