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225235776 = 2636717509
BaseRepresentation
bin11010110110011…
…01001101000000
3120200211011101210
431123031031000
5430130021101
634203330120
75403321033
oct1533151500
9520734353
10225235776
11106159a77
1263520940
133788190c
1421cb101a
1514b917d6
hexd6cd340

225235776 has 56 divisors (see below), whose sum is σ = 604865440. Its totient is φ = 73953792.

The previous prime is 225235753. The next prime is 225235783. The reversal of 225235776 is 677532522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4110 + ... + 21618.

Almost surely, 2225235776 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 225235776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302432720).

225235776 is an abundant number, since it is smaller than the sum of its proper divisors (379629664).

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

225235776 is a wasteful number, since it uses less digits than its factorization.

225235776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17591 (or 17581 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 225235776 is about 15007.8571421772. The cubic root of 225235776 is about 608.4325753563.

The spelling of 225235776 in words is "two hundred twenty-five million, two hundred thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 12864 17509 35018 52527 70036 105054 140072 210108 280144 420216 560288 840432 1120576 1173103 1680864 2346206 3361728 3519309 4692412 7038618 9384824 14077236 18769648 28154472 37539296 56308944 75078592 112617888 225235776