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225652050 = 2325213172269
BaseRepresentation
bin11010111001100…
…10110101010010
3120201121022102100
431130302311102
5430231331200
634220301230
75410003461
oct1534626522
9521538370
10225652050
111064137a8
12636a1816
1337999230
1421d7c9d8
1514c24d00
hexd732d52

225652050 has 144 divisors (see below), whose sum is σ = 691596360. Its totient is φ = 52254720.

The previous prime is 225652039. The next prime is 225652081. The reversal of 225652050 is 50256522.

225652050 is a `hidden beast` number, since 2 + 2 + 5 + 652 + 0 + 5 + 0 = 666.

225652050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1640961 + 224011089 = 1281^2 + 14967^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98316 + ... + 100584.

Almost surely, 2225652050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225652050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345798180).

225652050 is an abundant number, since it is smaller than the sum of its proper divisors (465944310).

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

225652050 is a wasteful number, since it uses less digits than its factorization.

225652050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 225652050 is about 15021.7192757687. The cubic root of 225652050 is about 608.8071736178.

The spelling of 225652050 in words is "two hundred twenty-five million, six hundred fifty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 221 225 234 255 306 325 390 425 442 450 510 585 650 663 765 850 975 1105 1170 1275 1326 1530 1950 1989 2210 2269 2550 2925 3315 3825 3978 4538 5525 5850 6630 6807 7650 9945 11050 11345 13614 16575 19890 20421 22690 29497 33150 34035 38573 40842 49725 56725 58994 68070 77146 88491 99450 102105 113450 115719 147485 170175 176982 192865 204210 231438 265473 294970 340350 347157 385730 442455 501449 510525 530946 578595 694314 737425 884910 964325 1002898 1021050 1157190 1327365 1474850 1504347 1735785 1928650 2212275 2507245 2654730 2892975 3008694 3471570 4424550 4513041 5014490 5785950 6636825 7521735 8678925 9026082 12536225 13273650 15043470 17357850 22565205 25072450 37608675 45130410 75217350 112826025 225652050