Search a number
-
+
2150320004 = 227177336163
BaseRepresentation
bin1000000000101011…
…0100011110000100
312112212012120111122
42000022310132010
513400440220004
6553212453112
7104200263350
oct20012643604
95485176448
102150320004
11a03888278
1250017a198
13283658b01
14165828460
15c8ba6cbe
hex802b4784

2150320004 has 48 divisors (see below), whose sum is σ = 4560571008. Its totient is φ = 866032128.

The previous prime is 2150319971. The next prime is 2150320027. The reversal of 2150320004 is 4000230512.

It is a super-2 number, since 2×21503200042 = 9247752239205120032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345827 + ... + 351989.

It is an arithmetic number, because the mean of its divisors is an integer number (95011896).

Almost surely, 22150320004 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 2150320004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280285504).

2150320004 is an abundant number, since it is smaller than the sum of its proper divisors (2410251004).

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

2150320004 is a wasteful number, since it uses less digits than its factorization.

2150320004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6922 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2150320004 is about 46371.5430409643. The cubic root of 2150320004 is about 1290.7269111849.

Adding to 2150320004 its reverse (4000230512), we get a palindrome (6150550516).

The spelling of 2150320004 in words is "two billion, one hundred fifty million, three hundred twenty thousand, four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 733 1466 2932 5131 6163 10262 12326 12461 20524 24652 24922 43141 49844 86282 87227 104771 172564 174454 209542 348908 419084 733397 1466794 2933588 4517479 9034958 18069916 31622353 63244706 76797143 126489412 153594286 307188572 537580001 1075160002 2150320004