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199965384 = 23328093433
BaseRepresentation
bin10111110101100…
…11101011001000
3111221021021221100
423322303223020
5402142343014
631501541400
74645451313
oct1372635310
9457237840
10199965384
11a2969a53
1256b74860
1332574618
141c7b397a
151284e009
hexbeb3ac8

199965384 has 48 divisors (see below), whose sum is σ = 542400300. Its totient is φ = 66553344.

The previous prime is 199965379. The next prime is 199965397. The reversal of 199965384 is 483569991.

199965384 is a `hidden beast` number, since 19 + 9 + 96 + 538 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 196616484 + 3348900 = 14022^2 + 1830^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 199965384.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56532 + ... + 59964.

Almost surely, 2199965384 is an apocalyptic number.

It is an amenable number.

199965384 is an abundant number, since it is smaller than the sum of its proper divisors (342434916).

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

199965384 is a wasteful number, since it uses less digits than its factorization.

199965384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4247 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 199965384 is about 14140.9117103530. The cubic root of 199965384 is about 584.7698064298.

The spelling of 199965384 in words is "one hundred ninety-nine million, nine hundred sixty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 809 1618 2427 3236 3433 4854 6472 6866 7281 9708 10299 13732 14562 19416 20598 27464 29124 30897 41196 58248 61794 82392 123588 247176 2777297 5554594 8331891 11109188 16663782 22218376 24995673 33327564 49991346 66655128 99982692 199965384