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224255330 = 251317247127
BaseRepresentation
bin11010101110111…
…01110101100010
3120121222100110222
431113131311202
5424402132310
634130323042
75362065425
oct1527356542
9517870428
10224255330
1110564a392
1263129482
13375ca580
1421ad79bc
1514a4b055
hexd5ddd62

224255330 has 96 divisors (see below), whose sum is σ = 475324416. Its totient is φ = 75672576.

The previous prime is 224255327. The next prime is 224255341. The reversal of 224255330 is 33552422.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 224255330.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1765727 + ... + 1765853.

It is an arithmetic number, because the mean of its divisors is an integer number (4951296).

Almost surely, 2224255330 is an apocalyptic number.

224255330 is an abundant number, since it is smaller than the sum of its proper divisors (251069086).

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

224255330 is a wasteful number, since it uses less digits than its factorization.

224255330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 224255330 is about 14975.1570943346. The cubic root of 224255330 is about 607.5484604040.

The spelling of 224255330 in words is "two hundred twenty-four million, two hundred fifty-five thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 47 65 85 94 127 130 170 221 235 254 289 442 470 578 611 635 799 1105 1222 1270 1445 1598 1651 2159 2210 2890 3055 3302 3757 3995 4318 5969 6110 7514 7990 8255 10387 10795 11938 13583 16510 18785 20774 21590 27166 28067 29845 36703 37570 51935 56134 59690 67915 73406 77597 101473 103870 135830 140335 155194 176579 183515 202946 280670 353158 367030 387985 477139 507365 775970 882895 954278 1014730 1319149 1725041 1765790 2385695 2638298 3450082 4771390 6595745 8625205 13191490 17250410 22425533 44851066 112127665 224255330