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225748248 = 23311337191
BaseRepresentation
bin11010111010010…
…10010100011000
3120201210012101020
431131022110120
5430242420443
634222322440
75410554105
oct1535122430
9521705336
10225748248
1110647a000
1263729420
1337a00c5b
1421da5aac
1514c43583
hexd74a518

225748248 has 128 divisors (see below), whose sum is σ = 640880640. Its totient is φ = 66211200.

The previous prime is 225748223. The next prime is 225748277. The reversal of 225748248 is 842847522.

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 31 ways as a sum of consecutive naturals, for example, 1181833 + ... + 1182023.

It is an arithmetic number, because the mean of its divisors is an integer number (5006880).

Almost surely, 2225748248 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 225748248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320440320).

225748248 is an abundant number, since it is smaller than the sum of its proper divisors (415132392).

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

225748248 is a wasteful number, since it uses less digits than its factorization.

225748248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 225748248 is about 15024.9208982943. The cubic root of 225748248 is about 608.8936751024.

It can be divided in two parts, 2257 and 48248, that added together give a palindrome (50505).

The spelling of 225748248 in words is "two hundred twenty-five million, seven hundred forty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 191 222 242 264 296 363 382 407 444 484 573 726 764 814 888 968 1146 1221 1331 1452 1528 1628 2101 2292 2442 2662 2904 3256 3993 4202 4477 4584 4884 5324 6303 7067 7986 8404 8954 9768 10648 12606 13431 14134 15972 16808 17908 21201 23111 25212 26862 28268 31944 35816 42402 46222 49247 50424 53724 56536 69333 77737 84804 92444 98494 107448 138666 147741 155474 169608 184888 196988 233211 254221 277332 295482 310948 393976 466422 508442 554664 590964 621896 762663 855107 932844 1016884 1181928 1525326 1710214 1865688 2033768 2565321 3050652 3420428 5130642 6101304 6840856 9406177 10261284 18812354 20522568 28218531 37624708 56437062 75249416 112874124 225748248