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225041220 = 22335835021
BaseRepresentation
bin11010110100111…
…01101101000100
3120200110021112000
431122131231010
5430102304340
634155225300
75401550565
oct1532355504
9520407460
10225041220
11106036888
1263448230
13378141b1
1421c6016c
1514b53d30
hexd69db44

225041220 has 96 divisors (see below), whose sum is σ = 708704640. Its totient is φ = 59276160.

The previous prime is 225041213. The next prime is 225041227. The reversal of 225041220 is 22140522.

225041220 is a `hidden beast` number, since 2 + 250 + 412 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225041213) and next prime (225041227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225041193 and 225041202.

It is not an unprimeable number, because it can be changed into a prime (225041227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42310 + ... + 47330.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340).

Almost surely, 2225041220 is an apocalyptic number.

225041220 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 225041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320).

225041220 is an abundant number, since it is smaller than the sum of its proper divisors (483663420).

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

225041220 is a wasteful number, since it uses less digits than its factorization.

225041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 225041220 is about 15001.3739370766. The cubic root of 225041220 is about 608.2573392696.

Adding to 225041220 its reverse (22140522), we get a palindrome (247181742).

The spelling of 225041220 in words is "two hundred twenty-five million, forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 5021 7470 8964 10042 11205 14940 15063 20084 22410 25105 30126 44820 45189 50210 60252 75315 90378 100420 135567 150630 180756 225945 271134 301260 416743 451890 542268 677835 833486 903780 1250229 1355670 1666972 2083715 2500458 2711340 3750687 4167430 5000916 6251145 7501374 8334860 11252061 12502290 15002748 18753435 22504122 25004580 37506870 45008244 56260305 75013740 112520610 225041220