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224764740 = 223352318097
BaseRepresentation
bin11010110010110…
…10001101000100
3120122221020021000
431121122031010
5430014432430
634145253300
75366316534
oct1531321504
9518836230
10224764740
11105968092
1263334230
13377483b5
1421bcb4c4
1514aebe60
hexd65a344

224764740 has 96 divisors (see below), whose sum is σ = 729711360. Its totient is φ = 57328128.

The previous prime is 224764697. The next prime is 224764753. The reversal of 224764740 is 47467422.

It is a happy number.

224764740 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 647 + 4 + 0 = 666.

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 = 224764695 and 224764704.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3372 + ... + 21468.

It is an arithmetic number, because the mean of its divisors is an integer number (7601160).

Almost surely, 2224764740 is an apocalyptic number.

224764740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224764740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364855680).

224764740 is an abundant number, since it is smaller than the sum of its proper divisors (504946620).

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

224764740 is a wasteful number, since it uses less digits than its factorization.

224764740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18138 (or 18130 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 224764740 is about 14992.1559490288. The cubic root of 224764740 is about 608.0081406170.

The spelling of 224764740 in words is "two hundred twenty-four million, seven hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 18097 36194 54291 72388 90485 108582 162873 180970 217164 271455 325746 361940 416231 488619 542910 651492 814365 832462 977238 1085820 1248693 1628730 1664924 1954476 2081155 2443095 2497386 3257460 3746079 4162310 4886190 4994772 6243465 7492158 8324620 9772380 11238237 12486930 14984316 18730395 22476474 24973860 37460790 44952948 56191185 74921580 112382370 224764740