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2243145200 = 24525779719
BaseRepresentation
bin1000010110110011…
…1010110111110000
312210022212120201212
42011230322313300
514043221121300
61010330215252
7106405263632
oct20554726760
95708776655
102243145200
11a5121920a
12527284528
1329995996a
14173caca52
15d1de0935
hex85b3adf0

2243145200 has 60 divisors (see below), whose sum is σ = 5399051760. Its totient is φ = 895610880.

The previous prime is 2243145167. The next prime is 2243145211. The reversal of 2243145200 is 25413422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 225941 + ... + 235659.

It is an arithmetic number, because the mean of its divisors is an integer number (89984196).

Almost surely, 22243145200 is an apocalyptic number.

2243145200 is a gapful number since it is divisible by the number (20) 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 2243145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699525880).

2243145200 is an abundant number, since it is smaller than the sum of its proper divisors (3155906560).

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

2243145200 is a wasteful number, since it uses less digits than its factorization.

2243145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2243145200 is about 47361.8538488518. The cubic root of 2243145200 is about 1309.0386280210.

Adding to 2243145200 its reverse (25413422), we get a palindrome (2268558622).

The spelling of 2243145200 in words is "two billion, two hundred forty-three million, one hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 577 1154 2308 2885 4616 5770 9232 9719 11540 14425 19438 23080 28850 38876 46160 48595 57700 77752 97190 115400 155504 194380 230800 242975 388760 485950 777520 971900 1943800 3887600 5607863 11215726 22431452 28039315 44862904 56078630 89725808 112157260 140196575 224314520 280393150 448629040 560786300 1121572600 2243145200