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224131300 = 22522241313
BaseRepresentation
bin11010101101111…
…11100011100100
3120121202001100021
431112333203210
5424334200200
634123524524
75361041011
oct1526774344
9517661307
10224131300
11105575188
1263089744
1337585c93
1421aa4708
1514a2441a
hexd5bf8e4

224131300 has 18 divisors (see below), whose sum is σ = 486365138. Its totient is φ = 89652480.

The previous prime is 224131261. The next prime is 224131301. The reversal of 224131300 is 3131422.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 44195904 + 179935396 = 6648^2 + 13414^2 .

It is not an unprimeable number, because it can be changed into a prime (224131301) 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 5 ways as a sum of consecutive naturals, for example, 1120557 + ... + 1120756.

Almost surely, 2224131300 is an apocalyptic number.

224131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224131300 is an abundant number, since it is smaller than the sum of its proper divisors (262233838).

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

224131300 is a wasteful number, since it uses less digits than its factorization.

224131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241327 (or 2241320 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 224131300 is about 14971.0153296295. The cubic root of 224131300 is about 607.4364331417.

Adding to 224131300 its reverse (3131422), we get a palindrome (227262722).

The spelling of 224131300 in words is "two hundred twenty-four million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2241313 4482626 8965252 11206565 22413130 44826260 56032825 112065650 224131300