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225348750 = 2335411607
BaseRepresentation
bin11010110111010…
…00110010001110
3120201000220101000
431123220302032
5430142130000
634210001130
75404301304
oct1533506216
9521026330
10225348750
11106226940
12635761a6
13378c1173
1421d00274
1514bb5000
hexd6e8c8e

225348750 has 160 divisors (see below), whose sum is σ = 683781120. Its totient is φ = 54540000.

The previous prime is 225348743. The next prime is 225348769. The reversal of 225348750 is 57843522.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 370947 + ... + 371553.

It is an arithmetic number, because the mean of its divisors is an integer number (4273632).

Almost surely, 2225348750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225348750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341890560).

225348750 is an abundant number, since it is smaller than the sum of its proper divisors (458432370).

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

225348750 is a wasteful number, since it uses less digits than its factorization.

225348750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 225348750 is about 15011.6204988003. The cubic root of 225348750 is about 608.5342844391.

The spelling of 225348750 in words is "two hundred twenty-five million, three hundred forty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 125 135 150 165 198 225 250 270 275 297 330 375 450 495 550 594 607 625 675 750 825 990 1125 1214 1250 1350 1375 1485 1650 1821 1875 2250 2475 2750 2970 3035 3375 3642 3750 4125 4950 5463 5625 6070 6677 6750 6875 7425 8250 9105 10926 11250 12375 13354 13750 14850 15175 16389 16875 18210 20031 20625 24750 27315 30350 32778 33385 33750 37125 40062 41250 45525 54630 60093 61875 66770 74250 75875 81945 91050 100155 120186 123750 136575 151750 163890 166925 180279 185625 200310 227625 273150 300465 333850 360558 371250 379375 409725 455250 500775 600930 682875 758750 819450 834625 901395 1001550 1138125 1365750 1502325 1669250 1802790 2048625 2276250 2503875 3004650 3414375 4097250 4173125 4506975 5007750 6828750 7511625 8346250 9013950 10243125 12519375 15023250 20486250 22534875 25038750 37558125 45069750 75116250 112674375 225348750