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225246868 = 22711312761
BaseRepresentation
bin11010110110011…
…11111010010100
3120200211201121121
431123033322110
5430130344433
634203453324
75403365260
oct1533177224
9520751547
10225246868
11106167340
1263527244
1337886992
1421cb50a0
1514b94c2d
hexd6cfe94

225246868 has 72 divisors (see below), whose sum is σ = 508479552. Its totient is φ = 84816000.

The previous prime is 225246841. The next prime is 225246871. The reversal of 225246868 is 868642522.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 295608 + ... + 296368.

It is an arithmetic number, because the mean of its divisors is an integer number (7062216).

Almost surely, 2225246868 is an apocalyptic number.

225246868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225246868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254239776).

225246868 is an abundant number, since it is smaller than the sum of its proper divisors (283232684).

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

225246868 is a wasteful number, since it uses less digits than its factorization.

225246868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 812 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 225246868 is about 15008.2266773926. The cubic root of 225246868 is about 608.4425628510.

It can be divided in two parts, 22524 and 6868, that added together give a palindrome (29392).

The spelling of 225246868 in words is "two hundred twenty-five million, two hundred forty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 682 761 868 961 1364 1522 1922 2387 3044 3844 4774 5327 6727 8371 9548 10571 10654 13454 16742 21142 21308 23591 26908 33484 42284 47182 58597 73997 94364 117194 147994 165137 234388 259501 295988 330274 519002 660548 731321 1038004 1462642 1816507 2925284 3633014 5119247 7266028 8044531 10238494 16089062 20476988 32178124 56311717 112623434 225246868