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225109352 = 231323141131
BaseRepresentation
bin11010110101011…
…10010101101000
3120200120201222102
431122232111220
5430111444402
634200512532
75402253326
oct1532562550
9520521872
10225109352
11106082a96
126347b748
1337839200
1421c7ad16
1514b69102
hexd6ae568

225109352 has 96 divisors (see below), whose sum is σ = 486984960. Its totient is φ = 97344000.

The previous prime is 225109351. The next prime is 225109373. The reversal of 225109352 is 253901522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225109351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1718327 + ... + 1718457.

It is an arithmetic number, because the mean of its divisors is an integer number (5072760).

Almost surely, 2225109352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225109352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243492480).

225109352 is an abundant number, since it is smaller than the sum of its proper divisors (261875608).

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

225109352 is a wasteful number, since it uses less digits than its factorization.

225109352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 225109352 is about 15003.6446238906. The cubic root of 225109352 is about 608.3187170734.

The spelling of 225109352 in words is "two hundred twenty-five million, one hundred nine thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 41 52 62 82 104 124 131 164 169 248 262 328 338 403 524 533 676 806 1048 1066 1271 1352 1612 1703 2132 2542 3224 3406 4061 4264 5084 5239 5371 6812 6929 8122 10168 10478 10742 13624 13858 16244 16523 20956 21484 22139 27716 32488 33046 41912 42968 44278 52793 55432 66092 69823 88556 105586 132184 139646 166501 177112 211172 214799 279292 333002 422344 429598 558584 666004 686309 859196 907699 1332008 1372618 1718392 1815398 2164513 2745236 3630796 4329026 5490472 7261592 8658052 17316104 28138669 56277338 112554676 225109352