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224000010 = 232513191453
BaseRepresentation
bin11010101100111…
…11100000001010
3120121111101020200
431112133200022
5424321000020
634121033030
75356653153
oct1526374012
9517441220
10224000010
11105495583
1263025776
133753b2b0
1421a6c92a
15149ea590
hexd59f80a

224000010 has 48 divisors (see below), whose sum is σ = 627203304. Its totient is φ = 55138176.

The previous prime is 223999903. The next prime is 224000047. The reversal of 224000010 is 10000422.

224000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 202293729 + 21706281 = 14223^2 + 4659^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 223999956 and 224000001.

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, 94557 + ... + 96896.

Almost surely, 2224000010 is an apocalyptic number.

224000010 is an abundant number, since it is smaller than the sum of its proper divisors (403203294).

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

224000010 is a wasteful number, since it uses less digits than its factorization.

224000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191479 (or 191476 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 224000010 is about 14966.6298811723. The cubic root of 224000010 is about 607.3178034126.

Adding to 224000010 its reverse (10000422), we get a palindrome (234000432).

The spelling of 224000010 in words is "two hundred twenty-four million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 191453 382906 574359 957265 1148718 1723077 1914530 2488889 2871795 3446154 4977778 5743590 7466667 8615385 12444445 14933334 17230770 22400001 24888890 37333335 44800002 74666670 112000005 224000010