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224375328 = 2532779081
BaseRepresentation
bin11010101111110…
…11001000100000
3120122012110002100
431113323020200
5424420002303
634133050400
75363105322
oct1527731040
9518173070
10224375328
11105721561
1263186a00
1337640088
1421b29612
1514a718a3
hexd5fb220

224375328 has 36 divisors (see below), whose sum is σ = 638068158. Its totient is φ = 74791680.

The previous prime is 224375323. The next prime is 224375339. The reversal of 224375328 is 823573422.

224375328 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 only one way, i.e., 141419664 + 82955664 = 11892^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224375292 and 224375301.

It is not an unprimeable number, because it can be changed into a prime (224375323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 389253 + ... + 389828.

Almost surely, 2224375328 is an apocalyptic number.

It is an amenable number.

224375328 is an abundant number, since it is smaller than the sum of its proper divisors (413692830).

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

224375328 is a wasteful number, since it uses less digits than its factorization.

224375328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779097 (or 779086 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 224375328 is about 14979.1631274915. The cubic root of 224375328 is about 607.6568065473.

The spelling of 224375328 in words is "two hundred twenty-four million, three hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 779081 1558162 2337243 3116324 4674486 6232648 7011729 9348972 12465296 14023458 18697944 24930592 28046916 37395888 56093832 74791776 112187664 224375328