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225805050 = 23352179839
BaseRepresentation
bin11010111010110…
…00001011111010
3120201220002022000
431131120023322
5430301230200
634223441430
75411211522
oct1535301372
9521802260
10225805050
11106508749
1263756276
1337a20a73
1421dbc682
1514c55300
hexd7582fa

225805050 has 96 divisors (see below), whose sum is σ = 658886400. Its totient is φ = 56666880.

The previous prime is 225805037. The next prime is 225805087. The reversal of 225805050 is 50508522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18031 + ... + 27869.

It is an arithmetic number, because the mean of its divisors is an integer number (6863400).

Almost surely, 2225805050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225805050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329443200).

225805050 is an abundant number, since it is smaller than the sum of its proper divisors (433081350).

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

225805050 is a wasteful number, since it uses less digits than its factorization.

225805050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877 (or 9866 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 225805050 is about 15026.8110389397. The cubic root of 225805050 is about 608.9447400659.

The spelling of 225805050 in words is "two hundred twenty-five million, eight hundred five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 102 135 150 153 170 225 255 270 306 425 450 459 510 675 765 850 918 1275 1350 1530 2295 2550 3825 4590 7650 9839 11475 19678 22950 29517 49195 59034 88551 98390 147585 167263 177102 245975 265653 295170 334526 442755 491950 501789 531306 737925 836315 885510 1003578 1328265 1475850 1505367 1672630 2213775 2508945 2656530 3010734 4181575 4427550 4516101 5017890 6641325 7526835 8363150 9032202 12544725 13282650 15053670 22580505 25089450 37634175 45161010 75268350 112902525 225805050