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225085696 = 2811671193
BaseRepresentation
bin11010110101010…
…00100100000000
3120200112112112021
431122220210000
5430110220241
634200211224
75402124343
oct1532504400
9520475467
10225085696
11106067240
1263469b14
133782b504
1421c7245a
1514b620d1
hexd6a8900

225085696 has 72 divisors (see below), whose sum is σ = 497869344. Its totient is φ = 100700160.

The previous prime is 225085681. The next prime is 225085739. The reversal of 225085696 is 696580522.

It is a super-4 number, since 4×2250856964 (a number of 35 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188076 + ... + 189268.

It is an arithmetic number, because the mean of its divisors is an integer number (6914852).

Almost surely, 2225085696 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 225085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248934672).

225085696 is an abundant number, since it is smaller than the sum of its proper divisors (272783648).

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

225085696 is a wasteful number, since it uses less digits than its factorization.

225085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 225085696 is about 15002.8562613924. The cubic root of 225085696 is about 608.2974075905.

The spelling of 225085696 in words is "two hundred twenty-five million, eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 256 268 352 536 704 737 1072 1193 1408 1474 2144 2386 2816 2948 4288 4772 5896 8576 9544 11792 13123 17152 19088 23584 26246 38176 47168 52492 76352 79931 94336 104984 152704 159862 188672 209968 305408 319724 419936 639448 839872 879241 1278896 1679744 1758482 2557792 3359488 3516964 5115584 7033928 10231168 14067856 20462336 28135712 56271424 112542848 225085696