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2223143424 = 29323179197
BaseRepresentation
bin1000010010000010…
…0111101000000000
312201221020101110100
42010200213220000
514023111042144
61004333402400
7106043256465
oct20440475000
95657211410
102223143424
11a409a7617
12520639400
132957757a8
1417138366c
15d028e269
hex84827a00

2223143424 has 240 divisors, whose sum is σ = 6740997120. Its totient is φ = 704471040.

The previous prime is 2223143413. The next prime is 2223143437. The reversal of 2223143424 is 4243413222.

2223143424 is a `hidden beast` number, since 2 + 2 + 2 + 314 + 342 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 11284894 + ... + 11285090.

It is an arithmetic number, because the mean of its divisors is an integer number (28087488).

Almost surely, 22223143424 is an apocalyptic number.

2223143424 is a gapful number since it is divisible by the number (24) 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 2223143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370498560).

2223143424 is an abundant number, since it is smaller than the sum of its proper divisors (4517853696).

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

2223143424 is a wasteful number, since it uses less digits than its factorization.

2223143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2223143424 is about 47150.2218870707. The cubic root of 2223143424 is about 1305.1361746303.

Adding to 2223143424 its reverse (4243413222), we get a palindrome (6466556646).

The spelling of 2223143424 in words is "two billion, two hundred twenty-three million, one hundred forty-three thousand, four hundred twenty-four".