Search a number
-
+
2242010430 = 2325112264657
BaseRepresentation
bin1000010110100010…
…0101110100111110
312210020201221010100
42011220211310332
514042423313210
61010250021530
7106362526362
oct20550456476
95706657110
102242010430
11a50613690
12526a178a6
132996502ba
14173a952a2
15d1c695c0
hex85a25d3e

2242010430 has 48 divisors (see below), whose sum is σ = 6359159664. Its totient is φ = 543517440.

The previous prime is 2242010429. The next prime is 2242010453. The reversal of 2242010430 is 340102422.

2242010430 is a `hidden beast` number, since 224 + 2 + 0 + 10 + 430 = 666.

2242010430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22420104302 = 10053221536457569800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1131339 + ... + 1133318.

It is an arithmetic number, because the mean of its divisors is an integer number (132482493).

Almost surely, 22242010430 is an apocalyptic number.

2242010430 is an abundant number, since it is smaller than the sum of its proper divisors (4117149234).

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

2242010430 is a wasteful number, since it uses less digits than its factorization.

2242010430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264681 (or 2264678 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2242010430 is about 47349.8725447070. The cubic root of 2242010430 is about 1308.8178504682.

Adding to 2242010430 its reverse (340102422), we get a palindrome (2582112852).

The spelling of 2242010430 in words is "two billion, two hundred forty-two million, ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2264657 4529314 6793971 11323285 13587942 20381913 22646570 24911227 33969855 40763826 49822454 67939710 74733681 101909565 124556135 149467362 203819130 224201043 249112270 373668405 448402086 747336810 1121005215 2242010430