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2243142440 = 235711728293
BaseRepresentation
bin1000010110110011…
…1010001100101000
312210022212102221122
42011230322030220
514043221024230
61010330154412
7106405252610
oct20554721450
95708772848
102243142440
11a51217130
12527282a08
13299958626
14173caba40
15d1ddebe5
hex85b3a328

2243142440 has 64 divisors (see below), whose sum is σ = 6292460160. Its totient is φ = 699160320.

The previous prime is 2243142439. The next prime is 2243142449. The reversal of 2243142440 is 442413422.

It is a happy number.

It is a super-2 number, since 2×22431424402 = 10063376012258307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2243142449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361067 + ... + 367226.

It is an arithmetic number, because the mean of its divisors is an integer number (98319690).

Almost surely, 22243142440 is an apocalyptic number.

2243142440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243142440 is an abundant number, since it is smaller than the sum of its proper divisors (4049317720).

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

2243142440 is a wasteful number, since it uses less digits than its factorization.

2243142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728322 (or 728318 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2243142440 is about 47361.8247114699. The cubic root of 2243142440 is about 1309.0380911338.

Adding to 2243142440 its reverse (442413422), we get a palindrome (2685555862).

The spelling of 2243142440 in words is "two billion, two hundred forty-three million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 728293 1456586 2913172 3641465 5098051 5826344 7282930 8011223 10196102 14565860 16022446 20392204 25490255 29131720 32044892 40056115 40784408 50980510 56078561 64089784 80112230 101961020 112157122 160224460 203922040 224314244 280392805 320448920 448628488 560785610 1121571220 2243142440