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225725556 = 22373173317
BaseRepresentation
bin11010111010001…
…00110001110100
3120201202001020210
431131010301310
5430241204211
634222025420
75410431000
oct1535046164
9521661223
10225725556
11106463a51
1263718270
13379c3824
1421d9b700
1514c3b9a6
hexd744c74

225725556 has 96 divisors (see below), whose sum is σ = 619718400. Its totient is φ = 63917952.

The previous prime is 225725483. The next prime is 225725557. The reversal of 225725556 is 655527522.

225725556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225725557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711910 + ... + 712226.

It is an arithmetic number, because the mean of its divisors is an integer number (6455400).

Almost surely, 2225725556 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 225725556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309859200).

225725556 is an abundant number, since it is smaller than the sum of its proper divisors (393992844).

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

225725556 is a wasteful number, since it uses less digits than its factorization.

225725556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 502 counting only the distinct ones).

The product of its digits is 210000, while the sum is 39.

The square root of 225725556 is about 15024.1657339102. The cubic root of 225725556 is about 608.8732726137.

The spelling of 225725556 in words is "two hundred twenty-five million, seven hundred twenty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 173 196 294 317 343 346 519 588 634 686 692 951 1029 1038 1211 1268 1372 1902 2058 2076 2219 2422 3633 3804 4116 4438 4844 6657 7266 8477 8876 13314 14532 15533 16954 25431 26628 31066 33908 46599 50862 54841 59339 62132 93198 101724 108731 109682 118678 164523 178017 186396 217462 219364 237356 326193 329046 356034 383887 434924 652386 658092 712068 767774 1151661 1304772 1535548 2303322 2687209 4606644 5374418 8061627 10748836 16123254 18810463 32246508 37620926 56431389 75241852 112862778 225725556