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199249248 = 253112171009
BaseRepresentation
bin10111110000001…
…00110101100000
3111212220220120210
423320010311200
5402001433443
631434334120
74636406412
oct1370046540
9455826523
10199249248
11a251aa00
125688a340
1332383683
141c6689b2
151275bc33
hexbe04d60

199249248 has 144 divisors (see below), whose sum is σ = 609320880. Its totient is φ = 56770560.

The previous prime is 199249247. The next prime is 199249261. The reversal of 199249248 is 842942991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 199249197 and 199249206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199249243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196968 + ... + 197976.

It is an arithmetic number, because the mean of its divisors is an integer number (4231395).

Almost surely, 2199249248 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 199249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304660440).

199249248 is an abundant number, since it is smaller than the sum of its proper divisors (410071632).

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

199249248 is a wasteful number, since it uses less digits than its factorization.

199249248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1042 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 199249248 is about 14115.5675762613. The cubic root of 199249248 is about 584.0708927512.

The spelling of 199249248 in words is "one hundred ninety-nine million, two hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 121 132 136 176 187 204 242 264 272 352 363 374 408 484 528 544 561 726 748 816 968 1009 1056 1122 1452 1496 1632 1936 2018 2057 2244 2904 2992 3027 3872 4036 4114 4488 5808 5984 6054 6171 8072 8228 8976 11099 11616 12108 12342 16144 16456 17153 17952 22198 24216 24684 32288 32912 33297 34306 44396 48432 49368 51459 65824 66594 68612 88792 96864 98736 102918 122089 133188 137224 177584 188683 197472 205836 244178 266376 274448 355168 366267 377366 411672 488356 532752 548896 566049 732534 754732 823344 976712 1065504 1132098 1465068 1509464 1646688 1953424 2075513 2264196 2930136 3018928 3906848 4151026 4528392 5860272 6037856 6226539 8302052 9056784 11720544 12453078 16604104 18113568 24906156 33208208 49812312 66416416 99624624 199249248