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199332192 = 253191031061
BaseRepresentation
bin10111110000110…
…01000101100000
3111220002010100210
423320121011200
5402012112232
631440214120
74640203263
oct1370310540
9456063323
10199332192
11a2577254
125690a340
13323b2357
141c68acda
15127765cc
hexbe19160

199332192 has 96 divisors (see below), whose sum is σ = 556657920. Its totient is φ = 62277120.

The previous prime is 199332179. The next prime is 199332193. The reversal of 199332192 is 291233991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 199332192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199332193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187342 + ... + 188402.

It is an arithmetic number, because the mean of its divisors is an integer number (5798520).

Almost surely, 2199332192 is an apocalyptic number.

199332192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199332192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278328960).

199332192 is an abundant number, since it is smaller than the sum of its proper divisors (357325728).

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

199332192 is a wasteful number, since it uses less digits than its factorization.

199332192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1188 counting only the distinct ones).

The product of its digits is 26244, while the sum is 39.

The square root of 199332192 is about 14118.5053033244. The cubic root of 199332192 is about 584.1519276959.

The spelling of 199332192 in words is "one hundred ninety-nine million, three hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 103 114 152 206 228 304 309 412 456 608 618 824 912 1061 1236 1648 1824 1957 2122 2472 3183 3296 3914 4244 4944 5871 6366 7828 8488 9888 11742 12732 15656 16976 20159 23484 25464 31312 33952 40318 46968 50928 60477 62624 80636 93936 101856 109283 120954 161272 187872 218566 241908 322544 327849 437132 483816 645088 655698 874264 967632 1311396 1748528 1935264 2076377 2622792 3497056 4152754 5245584 6229131 8305508 10491168 12458262 16611016 24916524 33222032 49833048 66444064 99666096 199332192