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199312296 = 23323894057
BaseRepresentation
bin10111110000101…
…00001110101000
3111220001010001220
423320110032220
5402010443141
631435542040
74640061261
oct1370241650
9456033056
10199312296
11a2563307
12568ba920
13323a6291
141c683968
1512770766
hexbe143a8

199312296 has 64 divisors (see below), whose sum is σ = 525916800. Its totient is φ = 62819328.

The previous prime is 199312291. The next prime is 199312297. The reversal of 199312296 is 692213991.

It is a super-3 number, since 3×1993122963 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (199312291) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47100 + ... + 51156.

It is an arithmetic number, because the mean of its divisors is an integer number (8217450).

Almost surely, 2199312296 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 199312296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262958400).

199312296 is an abundant number, since it is smaller than the sum of its proper divisors (326604504).

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

199312296 is a wasteful number, since it uses less digits than its factorization.

199312296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4174 counting only the distinct ones).

The product of its digits is 52488, while the sum is 42.

The square root of 199312296 is about 14117.8006785760. The cubic root of 199312296 is about 584.1324916758.

The spelling of 199312296 in words is "one hundred ninety-nine million, three hundred twelve thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 356 534 552 712 1068 2047 2136 4057 4094 6141 8114 8188 12171 12282 16228 16376 24342 24564 32456 48684 49128 93311 97368 186622 279933 361073 373244 559866 722146 746488 1083219 1119732 1444292 2166438 2239464 2888584 4332876 8304679 8665752 16609358 24914037 33218716 49828074 66437432 99656148 199312296