Search a number
-
+
2242334432 = 251317930113
BaseRepresentation
bin1000010110100111…
…0100111011100000
312210021100101120102
42011221310323200
514043014200212
61010301001532
7106365346112
oct20551647340
95707311512
102242334432
11a50815058
12526b532a8
13299734910
14173b3b3b2
15d1cd05c2
hex85a74ee0

2242334432 has 48 divisors (see below), whose sum is σ = 4780898640. Its totient is φ = 1029107712.

The previous prime is 2242334417. The next prime is 2242334453. The reversal of 2242334432 is 2344332422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2242334395 and 2242334404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59408 + ... + 89520.

It is an arithmetic number, because the mean of its divisors is an integer number (99602055).

Almost surely, 22242334432 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 2242334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390449320).

2242334432 is an abundant number, since it is smaller than the sum of its proper divisors (2538564208).

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

2242334432 is a wasteful number, since it uses less digits than its factorization.

2242334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30315 (or 30307 counting only the distinct ones).

The product of its digits is 27648, while the sum is 29.

The square root of 2242334432 is about 47353.2937819535. The cubic root of 2242334432 is about 1308.8808949527.

Adding to 2242334432 its reverse (2344332422), we get a palindrome (4586666854).

The spelling of 2242334432 in words is "two billion, two hundred forty-two million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 179 208 358 416 716 1432 2327 2864 4654 5728 9308 18616 30113 37232 60226 74464 120452 240904 391469 481808 782938 963616 1565876 3131752 5390227 6263504 10780454 12527008 21560908 43121816 70072951 86243632 140145902 172487264 280291804 560583608 1121167216 2242334432