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225352206 = 23423311951
BaseRepresentation
bin11010110111010…
…01101000001110
3120201001002010000
431123221220032
5430142232311
634210025130
75404314342
oct1533515016
9521032100
10225352206
111062294a2
12635781a6
13378c2901
1421d01622
1514bb6056
hexd6e9a0e

225352206 has 80 divisors (see below), whose sum is σ = 544186368. Its totient is φ = 69498000.

The previous prime is 225352189. The next prime is 225352213. The reversal of 225352206 is 602253522.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225352206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114531 + ... + 116481.

Almost surely, 2225352206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225352206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272093184).

225352206 is an abundant number, since it is smaller than the sum of its proper divisors (318834162).

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

225352206 is a wasteful number, since it uses less digits than its factorization.

225352206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 225352206 is about 15011.7356091826. The cubic root of 225352206 is about 608.5373952969.

The spelling of 225352206 in words is "two hundred twenty-five million, three hundred fifty-two thousand, two hundred six".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 81 93 138 162 186 207 279 414 558 621 713 837 1242 1426 1674 1863 1951 2139 2511 3726 3902 4278 5022 5853 6417 11706 12834 17559 19251 35118 38502 44873 52677 57753 60481 89746 105354 115506 120962 134619 158031 181443 269238 316062 362886 403857 544329 807714 1088658 1211571 1391063 1632987 2423142 2782126 3265974 3634713 4173189 4898961 7269426 8346378 9797922 12519567 25039134 37558701 75117402 112676103 225352206