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198325248 = 2103115869
BaseRepresentation
bin10111101001000…
…11010000000000
3111211011222002120
423310203100000
5401232401443
631402444240
74625510502
oct1364432000
9454158076
10198325248
11a1a49770
1256503680
133211bc24
141c4a7d72
1512628083
hexbd23400

198325248 has 88 divisors (see below), whose sum is σ = 576762720. Its totient is φ = 60088320.

The previous prime is 198325199. The next prime is 198325271. The reversal of 198325248 is 842523891.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

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, 30858 + ... + 36726.

Almost surely, 2198325248 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 198325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288381360).

198325248 is an abundant number, since it is smaller than the sum of its proper divisors (378437472).

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

198325248 is a wasteful number, since it uses less digits than its factorization.

198325248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5885 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 198325248 is about 14082.7997216463. The cubic root of 198325248 is about 583.1666352156.

The spelling of 198325248 in words is "one hundred ninety-eight million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 5869 8448 11264 11738 16896 17607 23476 33792 35214 46952 64559 70428 93904 129118 140856 187808 193677 258236 281712 375616 387354 516472 563424 751232 774708 1032944 1126848 1502464 1549416 2065888 2253696 3004928 3098832 4131776 4507392 6009856 6197664 8263552 9014784 12395328 16527104 18029568 24790656 33054208 49581312 66108416 99162624 198325248