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225519606 = 233133143241
BaseRepresentation
bin11010111000100…
…10011111110110
3120201100120202000
431130102133312
5430213111411
634213400130
75405612364
oct1534223766
9521316660
10225519606
11106333244
1263639046
1337950b70
1421d46634
1514bea956
hexd7127f6

225519606 has 128 divisors (see below), whose sum is σ = 572436480. Its totient is φ = 65318400.

The previous prime is 225519601. The next prime is 225519617. The reversal of 225519606 is 606915522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225519601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 935646 + ... + 935886.

It is an arithmetic number, because the mean of its divisors is an integer number (4472160).

Almost surely, 2225519606 is an apocalyptic number.

225519606 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225519606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286218240).

225519606 is an abundant number, since it is smaller than the sum of its proper divisors (346916874).

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

225519606 is a wasteful number, since it uses less digits than its factorization.

225519606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 225519606 is about 15017.3102118855. The cubic root of 225519606 is about 608.6880394051.

The spelling of 225519606 in words is "two hundred twenty-five million, five hundred nineteen thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 43 54 62 78 86 93 117 129 186 234 241 258 279 351 387 403 482 558 559 702 723 774 806 837 1118 1161 1209 1333 1446 1674 1677 2169 2322 2418 2666 3133 3354 3627 3999 4338 5031 6266 6507 7254 7471 7998 9399 10062 10363 10881 11997 13014 14942 15093 17329 18798 20726 21762 22413 23994 28197 30186 31089 34658 35991 44826 51987 56394 62178 67239 71982 84591 93267 97123 103974 134478 134719 155961 169182 186534 194246 201717 269438 279801 291369 311922 321253 403434 404157 467883 559602 582738 642506 808314 874107 935766 963759 1212471 1748214 1927518 2424942 2622321 2891277 3637413 4176289 5244642 5782554 7274826 8352578 8673831 12528867 17347662 25057734 37586601 75173202 112759803 225519606