Search a number
-
+
2240000130 = 2352311328729
BaseRepresentation
bin1000010110000011…
…1011000010000010
312210002221210111210
42011200323002002
514041420001010
61010134550550
7106336454424
oct20540730202
95702853453
102240000130
11a4a470285
12526208456
132990c8284
141736d0814
15d19bdb20
hex8583b082

2240000130 has 64 divisors (see below), whose sum is σ = 5659580160. Its totient is φ = 566286336.

The previous prime is 2240000129. The next prime is 2240000137. The reversal of 2240000130 is 310000422.

It is not an unprimeable number, because it can be changed into a prime (2240000137) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63606 + ... + 92334.

It is an arithmetic number, because the mean of its divisors is an integer number (88430940).

Almost surely, 22240000130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829790080).

2240000130 is an abundant number, since it is smaller than the sum of its proper divisors (3419580030).

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

2240000130 is a wasteful number, since it uses less digits than its factorization.

2240000130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28875.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2240000130 is about 47328.6396381726. The cubic root of 2240000130 is about 1308.4265493873.

Adding to 2240000130 its reverse (310000422), we get a palindrome (2550000552).

The spelling of 2240000130 in words is "two billion, two hundred forty million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 23 30 46 69 113 115 138 226 230 339 345 565 678 690 1130 1695 2599 3390 5198 7797 12995 15594 25990 28729 38985 57458 77970 86187 143645 172374 287290 430935 660767 861870 1321534 1982301 3246377 3303835 3964602 6492754 6607670 9739131 9911505 16231885 19478262 19823010 32463770 48695655 74666671 97391310 149333342 224000013 373333355 448000026 746666710 1120000065 2240000130