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224130450 = 23522515953
BaseRepresentation
bin11010101101111…
…11010110010010
3120121202000011210
431112333112102
5424334133300
634123520550
75361035355
oct1526772622
9517660153
10224130450
11105574585
1263089156
133758578b
1421aa429c
1514a24050
hexd5bf592

224130450 has 48 divisors (see below), whose sum is σ = 558151776. Its totient is φ = 59520000.

The previous prime is 224130443. The next prime is 224130539. The reversal of 224130450 is 54031422.

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 23 ways as a sum of consecutive naturals, for example, 34674 + ... + 40626.

It is an arithmetic number, because the mean of its divisors is an integer number (11628162).

Almost surely, 2224130450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224130450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279075888).

224130450 is an abundant number, since it is smaller than the sum of its proper divisors (334021326).

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

224130450 is a wasteful number, since it uses less digits than its factorization.

224130450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 224130450 is about 14970.9869414144. The cubic root of 224130450 is about 607.4356652561.

Adding to 224130450 its reverse (54031422), we get a palindrome (278161872).

The spelling of 224130450 in words is "two hundred twenty-four million, one hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 251 502 753 1255 1506 2510 3765 5953 6275 7530 11906 12550 17859 18825 29765 35718 37650 59530 89295 148825 178590 297650 446475 892950 1494203 2988406 4482609 7471015 8965218 14942030 22413045 37355075 44826090 74710150 112065225 224130450