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199895424 = 273895849
BaseRepresentation
bin10111110101000…
…10100110000000
3111221010201222020
423322202212000
5402133123144
631500241440
74645040331
oct1372424600
9457121866
10199895424
11a2921433
1256b40280
133254b821
141c796288
1512838419
hexbea2980

199895424 has 64 divisors (see below), whose sum is σ = 537030000. Its totient is φ = 65871872.

The previous prime is 199895417. The next prime is 199895453. The reversal of 199895424 is 424598991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1998954242 = 79916361072279552, which contains 22 as substring.

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, 31252 + ... + 37100.

Almost surely, 2199895424 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 199895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268515000).

199895424 is an abundant number, since it is smaller than the sum of its proper divisors (337134576).

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

199895424 is an equidigital number, since it uses as much as digits as its factorization.

199895424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5943 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 199895424 is about 14138.4378203534. The cubic root of 199895424 is about 584.7016025125.

The spelling of 199895424 in words is "one hundred ninety-nine million, eight hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 2136 2848 4272 5696 5849 8544 11392 11698 17088 17547 23396 34176 35094 46792 70188 93584 140376 187168 280752 374336 520561 561504 748672 1041122 1123008 1561683 2082244 2246016 3123366 4164488 6246732 8328976 12493464 16657952 24986928 33315904 49973856 66631808 99947712 199895424