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199693296 = 24331142023
BaseRepresentation
bin10111110011100…
…01001111110000
3111220202110201000
423321301033300
5402110141141
631452042000
74643236125
oct1371611760
9456673630
10199693296
11a27a3590
1256a63300
13324aa81a
141c74274c
15127e85b6
hexbe713f0

199693296 has 80 divisors (see below), whose sum is σ = 625317120. Its totient is φ = 60511680.

The previous prime is 199693279. The next prime is 199693297. The reversal of 199693296 is 692396991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199693297) 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, 16260 + ... + 25763.

It is an arithmetic number, because the mean of its divisors is an integer number (7816464).

Almost surely, 2199693296 is an apocalyptic number.

199693296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199693296 is an abundant number, since it is smaller than the sum of its proper divisors (425623824).

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

199693296 is a wasteful number, since it uses less digits than its factorization.

199693296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42051 (or 42039 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 199693296 is about 14131.2878394009. The cubic root of 199693296 is about 584.5044587254.

The spelling of 199693296 in words is "one hundred ninety-nine million, six hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 42023 84046 126069 168092 252138 336184 378207 462253 504276 672368 756414 924506 1008552 1134621 1386759 1512828 1849012 2017104 2269242 2773518 3025656 3698024 4160277 4538484 5547036 6051312 7396048 8320554 9076968 11094072 12480831 16641108 18153936 22188144 24961662 33282216 49923324 66564432 99846648 199693296