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224230200 = 23352373717
BaseRepresentation
bin11010101110101…
…11101100111000
3120121221002000020
431113113230320
5424400331300
634130010440
75361632235
oct1527275470
9517832006
10224230200
11105632517
1263116a20
13375bbcbc
1421acc78c
1514a438a0
hexd5d7b38

224230200 has 48 divisors (see below), whose sum is σ = 695115480. Its totient is φ = 59794560.

The previous prime is 224230199. The next prime is 224230207. The reversal of 224230200 is 2032422.

It is a super-3 number, since 3×2242302003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 224230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224230207) 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 11 ways as a sum of consecutive naturals, for example, 186259 + ... + 187458.

Almost surely, 2224230200 is an apocalyptic number.

224230200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224230200 is an abundant number, since it is smaller than the sum of its proper divisors (470885280).

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

224230200 is a wasteful number, since it uses less digits than its factorization.

224230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373736 (or 373727 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 224230200 is about 14974.3180145207. The cubic root of 224230200 is about 607.5257656433.

Adding to 224230200 its reverse (2032422), we get a palindrome (226262622).

The spelling of 224230200 in words is "two hundred twenty-four million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 373717 747434 1121151 1494868 1868585 2242302 2989736 3737170 4484604 5605755 7474340 8969208 9342925 11211510 14948680 18685850 22423020 28028775 37371700 44846040 56057550 74743400 112115100 224230200