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198199248 = 243134161127
BaseRepresentation
bin10111101000001…
…00011111010000
3111210221120020220
423310010133100
5401214333443
631400033040
74624444242
oct1364043720
9453846226
10198199248
11a1973035
1256462780
13320a6780
141c474092
1512600a83
hexbd047d0

198199248 has 160 divisors (see below), whose sum is σ = 578629632. Its totient is φ = 58060800.

The previous prime is 198199237. The next prime is 198199273. The reversal of 198199248 is 842991891.

It is a self number, because there is not a number n which added to its sum of digits gives 198199248.

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, 1560561 + ... + 1560687.

Almost surely, 2198199248 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 198199248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289314816).

198199248 is an abundant number, since it is smaller than the sum of its proper divisors (380430384).

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

198199248 is a wasteful number, since it uses less digits than its factorization.

198199248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its digits is 373248, while the sum is 51.

The square root of 198199248 is about 14078.3254686060. The cubic root of 198199248 is about 583.0431099069.

The spelling of 198199248 in words is "one hundred ninety-eight million, one hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 61 78 82 104 122 123 127 156 164 183 208 244 246 254 312 328 366 381 488 492 508 533 624 656 732 762 793 976 984 1016 1066 1464 1524 1586 1599 1651 1968 2032 2132 2379 2501 2928 3048 3172 3198 3302 4264 4758 4953 5002 5207 6096 6344 6396 6604 7503 7747 8528 9516 9906 10004 10414 12688 12792 13208 15006 15494 15621 19032 19812 20008 20828 23241 25584 26416 30012 30988 31242 32513 38064 39624 40016 41656 46482 60024 61976 62484 65026 67691 79248 83312 92964 97539 100711 120048 123952 124968 130052 135382 185928 195078 201422 203073 249936 260104 270764 302133 317627 371856 390156 402844 406146 520208 541528 604266 635254 780312 805688 812292 952881 1083056 1208532 1270508 1560624 1611376 1624584 1905762 2417064 2541016 3249168 3811524 4129151 4834128 5082032 7623048 8258302 12387453 15246096 16516604 24774906 33033208 49549812 66066416 99099624 198199248