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199992384 = 2632347209
BaseRepresentation
bin10111110101110…
…10010001000000
3111221022122222100
423322322101000
5402144224014
631502310400
74645623114
oct1372722100
9457278870
10199992384
11a2988269
1256b88400
13325839b7
141c7bd744
1512857009
hexbeba440

199992384 has 42 divisors (see below), whose sum is σ = 573243710. Its totient is φ = 66663936.

The previous prime is 199992293. The next prime is 199992389. The reversal of 199992384 is 483299991.

It can be written as a sum of positive squares in only one way, i.e., 105513984 + 94478400 = 10272^2 + 9720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 199992384.

It is not an unprimeable number, because it can be changed into a prime (199992389) 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 5 ways as a sum of consecutive naturals, for example, 173029 + ... + 174180.

Almost surely, 2199992384 is an apocalyptic number.

It is an amenable number.

199992384 is an abundant number, since it is smaller than the sum of its proper divisors (373251326).

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

199992384 is a wasteful number, since it uses less digits than its factorization.

199992384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347227 (or 347214 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 199992384 is about 14141.8663549052. The cubic root of 199992384 is about 584.7961244420.

The spelling of 199992384 in words is "one hundred ninety-nine million, nine hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 347209 694418 1041627 1388836 2083254 2777672 3124881 4166508 5555344 6249762 8333016 11110688 12499524 16666032 22221376 24999048 33332064 49998096 66664128 99996192 199992384