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2124334432 = 251146712923
BaseRepresentation
bin111111010011110…
…1100010101100000
312111001022101000001
41332213230111200
513322312200212
6550443505344
7103433354563
oct17647542540
95431271001
102124334432
119a01499a0
124b3528254
1327b15b12c
141621c24da
15c6772657
hex7e9ec560

2124334432 has 48 divisors (see below), whose sum is σ = 4572614592. Its totient is φ = 963464320.

The previous prime is 2124334417. The next prime is 2124334439. The reversal of 2124334432 is 2344334212.

It is a self number, because there is not a number n which added to its sum of digits gives 2124334432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124334439) 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 7 ways as a sum of consecutive naturals, for example, 157923 + ... + 170845.

It is an arithmetic number, because the mean of its divisors is an integer number (95262804).

Almost surely, 22124334432 is an apocalyptic number.

2124334432 is a gapful number since it is divisible by the number (22) 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 2124334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286307296).

2124334432 is an abundant number, since it is smaller than the sum of its proper divisors (2448280160).

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

2124334432 is a wasteful number, since it uses less digits than its factorization.

2124334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13411 (or 13403 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 2124334432 is about 46090.5026225577. The cubic root of 2124334432 is about 1285.5065567842.

Adding to 2124334432 its reverse (2344334212), we get a palindrome (4468668644).

The spelling of 2124334432 in words is "two billion, one hundred twenty-four million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 467 934 1868 3736 5137 7472 10274 12923 14944 20548 25846 41096 51692 82192 103384 142153 164384 206768 284306 413536 568612 1137224 2274448 4548896 6035041 12070082 24140164 48280328 66385451 96560656 132770902 193121312 265541804 531083608 1062167216 2124334432