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224508050 = 2521321632
BaseRepresentation
bin11010110000110…
…11100010010010
3120122110012010222
431120123202102
5424433224200
634135553042
75364200264
oct1530334222
9518405128
10224508050
11105802248
126322b782
1337688600
1421b61b34
1514a9ad85
hexd61b892

224508050 has 54 divisors (see below), whose sum is σ = 454968927. Its totient is φ = 82386720.

The previous prime is 224508013. The next prime is 224508059. The reversal of 224508050 is 50805422.

It can be written as a sum of positive squares in 5 ways, for example, as 14055001 + 210453049 = 3749^2 + 14507^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10595.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224508059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1377269 + ... + 1377431.

Almost surely, 2224508050 is an apocalyptic number.

224508050 is an abundant number, since it is smaller than the sum of its proper divisors (230460877).

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

224508050 is a wasteful number, since it uses less digits than its factorization.

224508050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 224508050 is about 14983.5926933429. The cubic root of 224508050 is about 607.7765962033.

Multiplying 224508050 by its product of nonzero digits (3200), we get a square (718425760000 = 8476002).

The spelling of 224508050 in words is "two hundred twenty-four million, five hundred eight thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 163 169 325 326 338 650 815 845 1630 1690 2119 4075 4225 4238 8150 8450 10595 21190 26569 27547 52975 53138 55094 105950 132845 137735 265690 275470 345397 664225 688675 690794 1328450 1377350 1726985 3453970 4490161 8634925 8980322 17269850 22450805 44901610 112254025 224508050